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Dallasb22 Group Title

What is the area of a right triangle with Side a: 5√2 Side b: 4√2?

  • 2 years ago
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  1. Dallasb22 Group Title
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    • 2 years ago
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  2. Dallasb22 Group Title
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    I got 10.. Formula to find right angle: A=1/2BH

    • 2 years ago
  3. muhammad9t5 Group Title
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    find the side and then use use heros formula.

    • 2 years ago
  4. muhammad9t5 Group Title
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    side c.

    • 2 years ago
  5. Dallasb22 Group Title
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    You mean to find C?

    • 2 years ago
  6. muhammad9t5 Group Title
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    yup

    • 2 years ago
  7. Dallasb22 Group Title
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    So i use: 5√2^2+4√^2=C^2

    • 2 years ago
  8. muhammad9t5 Group Title
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    by using pythagourus theorm

    • 2 years ago
  9. Dallasb22 Group Title
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    18=C^2

    • 2 years ago
  10. Dallasb22 Group Title
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    So i do √18

    • 2 years ago
  11. muhammad9t5 Group Title
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    thats 3redical2=c

    • 2 years ago
  12. muhammad9t5 Group Title
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    2sides are in radical then 3rd should be also in radical. do you know radical mean?

    • 2 years ago
  13. Dallasb22 Group Title
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    Yes the X√x right?

    • 2 years ago
  14. muhammad9t5 Group Title
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    yes great.

    • 2 years ago
  15. Dallasb22 Group Title
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    So it would be 9√2^2?

    • 2 years ago
  16. muhammad9t5 Group Title
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    \[18=\sqrt{3*3*2}\] \[18=\sqrt{9*2}\] u know the square roof of 9 is 3 then \[18=3\sqrt{2}\]

    • 2 years ago
  17. Dallasb22 Group Title
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    Ok. So C=3√2

    • 2 years ago
  18. Dallasb22 Group Title
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    What is the Hero's formula?

    • 2 years ago
  19. muhammad9t5 Group Title
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    therefor c=3redical2

    • 2 years ago
  20. Dallasb22 Group Title
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    A=5√2, B=4√2, C=3√2

    • 2 years ago
  21. muhammad9t5 Group Title
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    do you know about Hero's formula ?

    • 2 years ago
  22. CliffSedge Group Title
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    If it's a right triangle, you don't need Heron's formula . . .

    • 2 years ago
  23. Dallasb22 Group Title
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    I don't know Heron's formula. And yes, it is a Right Triangle

    • 2 years ago
  24. CliffSedge Group Title
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    Multiply a×b then divide by 2.

    • 2 years ago
  25. Dallasb22 Group Title
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    Nice of you to join us, Cliff

    • 2 years ago
  26. CliffSedge Group Title
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    *salutes* Heron's formula is general for any kind of triangle where you don't feel like using trigonometry to find the height. It requires that you know all three sides first, so often, you'll need trigonometry anyway.

    • 2 years ago
  27. Dallasb22 Group Title
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    5√2 * 4√2= 40 40/2= 20

    • 2 years ago
  28. CliffSedge Group Title
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    QED. Good job.

    • 2 years ago
  29. muhammad9t5 Group Title
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    yes i am in that i am talking about Hero's formula not herons.

    • 2 years ago
  30. Dallasb22 Group Title
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    Okay, good to know, i googled Heron's formula. Hero formula=Heron's formula

    • 2 years ago
  31. CliffSedge Group Title
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    Same guy. Heron is another name for Hero of Alexandria (en.wikipedia.org/wiki/Hero_of_Alexandria)

    • 2 years ago
  32. muhammad9t5 Group Title
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    ok me too.

    • 2 years ago
  33. Dallasb22 Group Title
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    I also, noted down Heron's formula for later use :D So the area: 20?

    • 2 years ago
  34. Dallasb22 Group Title
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    Thanks Muhammad !

    • 2 years ago
  35. Dallasb22 Group Title
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    Thanks cliff!

    • 2 years ago
  36. Dallasb22 Group Title
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    I have another question if one of you don't mind

    • 2 years ago
  37. muhammad9t5 Group Title
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    its ok bro. u r welcome.

    • 2 years ago
  38. muhammad9t5 Group Title
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    bro look at here what is says http://www.mathsisfun.com/geometry/herons-formula.html

    • 2 years ago
  39. CliffSedge Group Title
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    Heron's formula is pretty cool, but I prefer using the Law of Sines and Law of Cosines better (provided you know at least 1 angle.

    • 2 years ago
  40. muhammad9t5 Group Title
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    Step 2: Then calculate the Area using:

    • 2 years ago
  41. muhammad9t5 Group Title
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    means we were dong right or wrong?

    • 2 years ago
  42. muhammad9t5 Group Title
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    doing

    • 2 years ago
  43. muhammad9t5 Group Title
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    i was doing without angles.

    • 2 years ago
  44. CliffSedge Group Title
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    Area of any triangle is half the product of the base and height. For a right triangle, the two perpendicular legs are the base and height.

    • 2 years ago
  45. muhammad9t5 Group Title
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    its easy for @Dallasb22

    • 2 years ago
  46. muhammad9t5 Group Title
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    ok lets see by using herons formula.

    • 2 years ago
  47. CliffSedge Group Title
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    Actually, you were doing it with angles because you saw the right angle and used Pythagoras' theorem for the third side (which was unnecessary).

    • 2 years ago
  48. CliffSedge Group Title
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    Be my guest. Heron's formula is a beast and not worth my time.

    • 2 years ago
  49. Dallasb22 Group Title
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    Yes, receiving the third side is only necessary if we use Heron's formula.

    • 2 years ago
  50. Dallasb22 Group Title
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    Correct?

    • 2 years ago
  51. CliffSedge Group Title
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    and if it wasn't a right angle, then you'd have to use law of cosines or law of sines to find the third side, and if you're going to use trig anyway, might as well solve for the height instead (which is easier) and you still don't need Heron's formula.

    • 2 years ago
  52. Dallasb22 Group Title
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    @CliffSedge Another right triangle, A=2√3 c=4 What do i do here?

    • 2 years ago
  53. Dallasb22 Group Title
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    Ah true, Cause 1/2BH=Area

    • 2 years ago
  54. Dallasb22 Group Title
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    I'd still only need base and height.

    • 2 years ago
  55. CliffSedge Group Title
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    If you now have a leg and the hypotenuse, use PT to find the other leg then same as before.

    • 2 years ago
  56. CliffSedge Group Title
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    As a fun exercise just to practice some arithmetic, you can use Heron's formula to verify the area, or vice-verse.

    • 2 years ago
  57. muhammad9t5 Group Title
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    what are the answers of 1st question?

    • 2 years ago
  58. Dallasb22 Group Title
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    Okay, so 2√3^2+b^2=4^2 6+B^2=16

    • 2 years ago
  59. Dallasb22 Group Title
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    @muhammad9t5 Answer for Q1 is 20

    • 2 years ago
  60. Dallasb22 Group Title
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    So i subtract 6 to both sides B^2=10

    • 2 years ago
  61. Dallasb22 Group Title
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    B=√10

    • 2 years ago
  62. CliffSedge Group Title
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    mm, something doesn't look right there..

    • 2 years ago
  63. Dallasb22 Group Title
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    They want my answer to be x√x

    • 2 years ago
  64. CliffSedge Group Title
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    I think you forgot to square the 2 in (2√3)

    • 2 years ago
  65. Dallasb22 Group Title
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    Ahhhh. Thats my PROBLEM!!!

    • 2 years ago
  66. Dallasb22 Group Title
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    So it'd be 4√9 = 12

    • 2 years ago
  67. Dallasb22 Group Title
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    Side B= 2

    • 2 years ago
  68. Dallasb22 Group Title
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    So I would multiply A and B 2√3 * 2 =X x/2=Area?

    • 2 years ago
  69. Dallasb22 Group Title
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    Giving me an area of: 4√3

    • 2 years ago
  70. CliffSedge Group Title
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    did you divide by 2?

    • 2 years ago
  71. Dallasb22 Group Title
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    Ah man. *facepalm*

    • 2 years ago
  72. Dallasb22 Group Title
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    2√3 IS the area

    • 2 years ago
  73. CliffSedge Group Title
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    Math teaches us to be precise and methodical, yes?

    • 2 years ago
  74. Dallasb22 Group Title
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    Hehe, yes it does.

    • 2 years ago
  75. Dallasb22 Group Title
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    I have 2 more if you don't mind.

    • 2 years ago
  76. Dallasb22 Group Title
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    They should be easy, they are equilateral.

    • 2 years ago
  77. Dallasb22 Group Title
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    I just am doing something wrong that I can't find..

    • 2 years ago
  78. CliffSedge Group Title
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    And remember, that is more important than any particular kind of math problem. It's the problem-solving attitude, the patience, the planning, that is more important than whether or not you can solve this or that equation.

    • 2 years ago
  79. muhammad9t5 Group Title
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    yes.

    • 2 years ago
  80. CliffSedge Group Title
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    Wanna take this equilateral triangle, muhammad? I'm going to take a coffee break.

    • 2 years ago
  81. Dallasb22 Group Title
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    Yes, i know what you mean. If you didn't catch me I would have gotten it wrong, because I was rushing.

    • 2 years ago
  82. Dallasb22 Group Title
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    All three sides: 5, so the perimeter: 15 What is the area?

    • 2 years ago
  83. Dallasb22 Group Title
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    Equilateral triangle area formula: √3/4 * (s^2)

    • 2 years ago
  84. Dallasb22 Group Title
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    So √3/4 * (25)

    • 2 years ago
  85. Dallasb22 Group Title
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    I get: 25√3/4

    • 2 years ago
  86. Dallasb22 Group Title
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    |dw:1347039793370:dw|

    • 2 years ago
  87. Dallasb22 Group Title
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    But i cannot insert that in my work, i can only enter x√x

    • 2 years ago
  88. CliffSedge Group Title
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    hmm, I'm getting something different. I'm going to doublecheck my work. In the meantime, if you forget the equilateral triangle formula, you can rederive it using (what else?) Pythagoras' theorem. |dw:1347039924563:dw|

    • 2 years ago
  89. Dallasb22 Group Title
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    But what use is PT, if all side's are equal?

    • 2 years ago
  90. CliffSedge Group Title
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    To solve for the height of the triangle, which you need for the general triangle area formula.

    • 2 years ago
  91. Dallasb22 Group Title
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    Okay.. So the height is 25? 25+25=25 50=25 25

    • 2 years ago
  92. Dallasb22 Group Title
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    Wait.. I did that wrong.

    • 2 years ago
  93. Dallasb22 Group Title
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    |dw:1347040273270:dw|

    • 2 years ago
  94. Dallasb22 Group Title
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    IF the sides are all 5, then AB is 2.5

    • 2 years ago
  95. Dallasb22 Group Title
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    So how do i put 2.5 into PT?

    • 2 years ago
  96. CliffSedge Group Title
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    |dw:1347040269678:dw| \[(S/2)^2+h^2=S^2 \rightarrow h^2=S^2-S^2/4 = 3S^2/4\]

    • 2 years ago
  97. CliffSedge Group Title
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    Half of 5 is (5/2). (5/2)^2 = 25/4. (tip: fractions are better than decimals when doing algebra)

    • 2 years ago
  98. CliffSedge Group Title
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    I doublechecked. Your original formula and answer were correct.

    • 2 years ago
  99. Dallasb22 Group Title
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    How could that be?

    • 2 years ago
  100. CliffSedge Group Title
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    How could what be?

    • 2 years ago
  101. Dallasb22 Group Title
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    25√3/4 is the answer?

    • 2 years ago
  102. CliffSedge Group Title
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    Yep. If wherever you are submitting these answers doesn't like it in fraction form, then convert 25/4 into a decimal.

    • 2 years ago
  103. Dallasb22 Group Title
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    Being 6.25?

    • 2 years ago
  104. CliffSedge Group Title
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    Yes. 2.5^2 = 6.25 just like 25^2 = 625.

    • 2 years ago
  105. Dallasb22 Group Title
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    But wait.. Something is wrong, because they want my answer as: x√x

    • 2 years ago
  106. CliffSedge Group Title
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    And 6.25√3 is no good?

    • 2 years ago
  107. Dallasb22 Group Title
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    Darn, there i go again I forgot we were only simplifying the 25/4

    • 2 years ago
  108. Dallasb22 Group Title
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    I kept including the 25√3

    • 2 years ago
  109. Dallasb22 Group Title
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    I included the radical in the the division...

    • 2 years ago
  110. Dallasb22 Group Title
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    So its 25/4√3 Or 6.25√3

    • 2 years ago
  111. Dallasb22 Group Title
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    Your Score: 100.0% Thanks Cliff.

    • 2 years ago
  112. Dallasb22 Group Title
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    Those 2 were the only ones I was having trouble with.

    • 2 years ago
  113. CliffSedge Group Title
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    My pleasure. They're all just puzzles. Keep looking until you find where all the pieces fit.

    • 2 years ago
  114. Dallasb22 Group Title
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    :)

    • 2 years ago
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