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Dallasb22

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

  • one year ago
  • one year ago

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  1. Dallasb22
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    • one year ago
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  2. Dallasb22
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    I got 10.. Formula to find right angle: A=1/2BH

    • one year ago
  3. muhammad9t5
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    find the side and then use use heros formula.

    • one year ago
  4. muhammad9t5
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    side c.

    • one year ago
  5. Dallasb22
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    You mean to find C?

    • one year ago
  6. muhammad9t5
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    yup

    • one year ago
  7. Dallasb22
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    So i use: 5√2^2+4√^2=C^2

    • one year ago
  8. muhammad9t5
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    by using pythagourus theorm

    • one year ago
  9. Dallasb22
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    18=C^2

    • one year ago
  10. Dallasb22
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    So i do √18

    • one year ago
  11. muhammad9t5
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    thats 3redical2=c

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

    • one year ago
  13. Dallasb22
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    Yes the X√x right?

    • one year ago
  14. muhammad9t5
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    yes great.

    • one year ago
  15. Dallasb22
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    So it would be 9√2^2?

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

    • one year ago
  17. Dallasb22
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    Ok. So C=3√2

    • one year ago
  18. Dallasb22
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    What is the Hero's formula?

    • one year ago
  19. muhammad9t5
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    therefor c=3redical2

    • one year ago
  20. Dallasb22
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    A=5√2, B=4√2, C=3√2

    • one year ago
  21. muhammad9t5
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    do you know about Hero's formula ?

    • one year ago
  22. CliffSedge
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    If it's a right triangle, you don't need Heron's formula . . .

    • one year ago
  23. Dallasb22
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    I don't know Heron's formula. And yes, it is a Right Triangle

    • one year ago
  24. CliffSedge
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    Multiply a×b then divide by 2.

    • one year ago
  25. Dallasb22
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    Nice of you to join us, Cliff

    • one year ago
  26. CliffSedge
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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.

    • one year ago
  27. Dallasb22
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    5√2 * 4√2= 40 40/2= 20

    • one year ago
  28. CliffSedge
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    QED. Good job.

    • one year ago
  29. muhammad9t5
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    yes i am in that i am talking about Hero's formula not herons.

    • one year ago
  30. Dallasb22
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    Okay, good to know, i googled Heron's formula. Hero formula=Heron's formula

    • one year ago
  31. CliffSedge
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    Same guy. Heron is another name for Hero of Alexandria (en.wikipedia.org/wiki/Hero_of_Alexandria)

    • one year ago
  32. muhammad9t5
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    ok me too.

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

    • one year ago
  34. Dallasb22
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    Thanks Muhammad !

    • one year ago
  35. Dallasb22
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    Thanks cliff!

    • one year ago
  36. Dallasb22
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    I have another question if one of you don't mind

    • one year ago
  37. muhammad9t5
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    its ok bro. u r welcome.

    • one year ago
  38. muhammad9t5
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    bro look at here what is says http://www.mathsisfun.com/geometry/herons-formula.html

    • one year ago
  39. CliffSedge
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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.

    • one year ago
  40. muhammad9t5
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    Step 2: Then calculate the Area using:

    • one year ago
  41. muhammad9t5
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    means we were dong right or wrong?

    • one year ago
  42. muhammad9t5
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    doing

    • one year ago
  43. muhammad9t5
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    i was doing without angles.

    • one year ago
  44. CliffSedge
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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.

    • one year ago
  45. muhammad9t5
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    its easy for @Dallasb22

    • one year ago
  46. muhammad9t5
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    ok lets see by using herons formula.

    • one year ago
  47. CliffSedge
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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).

    • one year ago
  48. CliffSedge
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    Be my guest. Heron's formula is a beast and not worth my time.

    • one year ago
  49. Dallasb22
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    Yes, receiving the third side is only necessary if we use Heron's formula.

    • one year ago
  50. Dallasb22
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    Correct?

    • one year ago
  51. CliffSedge
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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.

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

    • one year ago
  53. Dallasb22
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    Ah true, Cause 1/2BH=Area

    • one year ago
  54. Dallasb22
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    I'd still only need base and height.

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

    • one year ago
  56. CliffSedge
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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.

    • one year ago
  57. muhammad9t5
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    what are the answers of 1st question?

    • one year ago
  58. Dallasb22
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    Okay, so 2√3^2+b^2=4^2 6+B^2=16

    • one year ago
  59. Dallasb22
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    @muhammad9t5 Answer for Q1 is 20

    • one year ago
  60. Dallasb22
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    So i subtract 6 to both sides B^2=10

    • one year ago
  61. Dallasb22
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    B=√10

    • one year ago
  62. CliffSedge
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    mm, something doesn't look right there..

    • one year ago
  63. Dallasb22
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    They want my answer to be x√x

    • one year ago
  64. CliffSedge
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    I think you forgot to square the 2 in (2√3)

    • one year ago
  65. Dallasb22
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    Ahhhh. Thats my PROBLEM!!!

    • one year ago
  66. Dallasb22
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    So it'd be 4√9 = 12

    • one year ago
  67. Dallasb22
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    Side B= 2

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

    • one year ago
  69. Dallasb22
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    Giving me an area of: 4√3

    • one year ago
  70. CliffSedge
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    did you divide by 2?

    • one year ago
  71. Dallasb22
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    Ah man. *facepalm*

    • one year ago
  72. Dallasb22
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    2√3 IS the area

    • one year ago
  73. CliffSedge
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    Math teaches us to be precise and methodical, yes?

    • one year ago
  74. Dallasb22
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    Hehe, yes it does.

    • one year ago
  75. Dallasb22
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    I have 2 more if you don't mind.

    • one year ago
  76. Dallasb22
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    They should be easy, they are equilateral.

    • one year ago
  77. Dallasb22
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    I just am doing something wrong that I can't find..

    • one year ago
  78. CliffSedge
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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.

    • one year ago
  79. muhammad9t5
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    yes.

    • one year ago
  80. CliffSedge
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    Wanna take this equilateral triangle, muhammad? I'm going to take a coffee break.

    • one year ago
  81. Dallasb22
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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.

    • one year ago
  82. Dallasb22
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    All three sides: 5, so the perimeter: 15 What is the area?

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

    • one year ago
  84. Dallasb22
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    So √3/4 * (25)

    • one year ago
  85. Dallasb22
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    I get: 25√3/4

    • one year ago
  86. Dallasb22
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    |dw:1347039793370:dw|

    • one year ago
  87. Dallasb22
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    But i cannot insert that in my work, i can only enter x√x

    • one year ago
  88. CliffSedge
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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|

    • one year ago
  89. Dallasb22
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    But what use is PT, if all side's are equal?

    • one year ago
  90. CliffSedge
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    To solve for the height of the triangle, which you need for the general triangle area formula.

    • one year ago
  91. Dallasb22
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    Okay.. So the height is 25? 25+25=25 50=25 25

    • one year ago
  92. Dallasb22
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    Wait.. I did that wrong.

    • one year ago
  93. Dallasb22
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    |dw:1347040273270:dw|

    • one year ago
  94. Dallasb22
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    IF the sides are all 5, then AB is 2.5

    • one year ago
  95. Dallasb22
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    So how do i put 2.5 into PT?

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

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

    • one year ago
  98. CliffSedge
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    I doublechecked. Your original formula and answer were correct.

    • one year ago
  99. Dallasb22
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    How could that be?

    • one year ago
  100. CliffSedge
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    How could what be?

    • one year ago
  101. Dallasb22
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    25√3/4 is the answer?

    • one year ago
  102. CliffSedge
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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.

    • one year ago
  103. Dallasb22
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    Being 6.25?

    • one year ago
  104. CliffSedge
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    Yes. 2.5^2 = 6.25 just like 25^2 = 625.

    • one year ago
  105. Dallasb22
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    But wait.. Something is wrong, because they want my answer as: x√x

    • one year ago
  106. CliffSedge
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    And 6.25√3 is no good?

    • one year ago
  107. Dallasb22
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    Darn, there i go again I forgot we were only simplifying the 25/4

    • one year ago
  108. Dallasb22
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    I kept including the 25√3

    • one year ago
  109. Dallasb22
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    I included the radical in the the division...

    • one year ago
  110. Dallasb22
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    So its 25/4√3 Or 6.25√3

    • one year ago
  111. Dallasb22
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    Your Score: 100.0% Thanks Cliff.

    • one year ago
  112. Dallasb22
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    Those 2 were the only ones I was having trouble with.

    • one year ago
  113. CliffSedge
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    My pleasure. They're all just puzzles. Keep looking until you find where all the pieces fit.

    • one year ago
  114. Dallasb22
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    :)

    • one year ago
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