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## anonymous 3 years ago I need help!!!

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1. anonymous

2. anonymous

okay well the theorem is $z^2=x^2+y^2$ and you know everything has to be an integer (whole number)

3. anonymous

you can just try different values. For instance for the first one i might try z=51 and x=24. so 51^2=24^2+y^2. Solving i get y=45. So this works

4. anonymous

can you try 19?

5. anonymous

@cherio12 can you try #19 plz

6. anonymous

you just have to play with the numbers. I first tried $z^2=25^2+20^$ but i got z= 32.0156..so this didn't work next i tried $25^2=20^2+y^2$ y=15 (this is an integer) so it checks out

7. anonymous

does this make sense?

8. anonymous

thats the answer in the book so i should be able to learn off your 2 answers

9. anonymous

wait so on 18# i got 2601=576+y2 then do i get y by itself? @cherio12

10. anonymous

yes. you should go 2601-576=y^2. then take the squareroot of both sides to just get y

11. anonymous

ok how do you know were to put the numbers on the equation?

12. anonymous

what do you mean?

13. anonymous

wait oh i see you said move them around and it has to be a whole number

14. anonymous

yup, its always (leg)^2+(leg)^2=(hypotenuse)^2

15. anonymous

thanks man! helped alot

16. anonymous

its commonly written as x^2+y^2=z^2

17. anonymous

no problem =D

18. anonymous

k

19. anonymous

wait so on # 20 i got 91.82592222ect

20. anonymous

okay so that means you picked the wrong combo of hypotenuse and legs. try another combo (by the way the hypotenuse will always be the largest of the 3 numbers)

21. anonymous

so set it up as x2= 96 + 28?

22. anonymous

i would try $96^2=x^2+28^2$

23. anonymous

do get x by its self?

24. anonymous

yes

25. anonymous

|dw:1359577137858:dw|

26. anonymous

but i still will get that 91.etc right?

27. anonymous

i was just showing you the triangle to help show what i meant by x, y and z

28. anonymous

i know im saying when i get x by its self and take 9216 and square it i get that 91.00202 number

29. anonymous

o you mean for the 96, 28 problem?

30. anonymous

yes

31. anonymous

$96^2=x^2+28^2$ $9216=x^2+784$ $9216-784=x^2$ $x=\sqrt{8432}$ x=91.8259 so this way didn't work.

32. anonymous

i would then try $z^2=96^2+28^2$

33. anonymous

but you would still get 91.8259 right?

34. anonymous

no i got 100

35. anonymous

you add 96^2 and 28^2 in this example instead of subtracting them (like we tried before)

36. anonymous

ohhh

37. anonymous

now i see thakns agian lol

38. anonymous

hey can you help @cherio12 with # 23

39. anonymous

sure

40. anonymous

okay so i first tried z^2=72^2+75^2 But i got z=103.966 so that's not right then i tried 75^2=x^2+72^2

41. anonymous

ok i did the first but didnt try that one what did you get?

42. anonymous

21

43. anonymous

can you show how you did that?

44. anonymous

75^2=x^2+72^2 solve for x

45. anonymous

ok thanks i got 21

46. anonymous

no problem

47. anonymous

hey @cherio12 for #24 you you do the same?

48. anonymous

yes, your two legs are 6 and 3

49. anonymous

so would it be 6(2)=3(2)+x2

50. anonymous

@cherio12

51. anonymous

by(2) do you mean you are squaring it?

52. anonymous

no 6 to the power 2 like 6*6

53. anonymous

that means squaring, but yes that is correct

54. anonymous

wait that doesnt work

55. anonymous

i tried both ways and got not a whole number

56. anonymous

I don't believe you are supossed to get an integer for this problem

57. anonymous

so would 5.19 work?

58. anonymous

@cherio12

59. anonymous

i got 7.937

60. anonymous

6^2+3^2=x^2

61. anonymous

ya that was my second way

62. anonymous

so would you set up # 25 and # 26 the same way?

63. anonymous

yes for 25, but for 26 you will use a ratio

64. anonymous

i gotta go eat..be back later

65. anonymous

ok when you get back can you explain ratio?

66. anonymous

@cherio12 you back?

67. anonymous

yes

68. anonymous

okay well for starters find the other leg on the 5,3 triangle

69. anonymous

wait on the # 25 its just 11 and x so is it 121 then sqare root answer is 11?

70. anonymous

no, there are two 11 sides

71. anonymous

oh i see cuase of that line thingy

72. anonymous

so the answer is 0

73. anonymous

no for 25, it is 11^1+11^2=x^2

74. anonymous

so its 15.49

75. anonymous

yes

76. anonymous

does that make sense why?

77. anonymous

yes i just didnt try that way and remember there not whole numbers

78. anonymous

so how do you do #26 is it 2 problems in 1

79. anonymous

@cherio12

80. anonymous

find the other leg in the 5,3 triangle first

81. anonymous

5.83

82. anonymous

wait no its 4

83. anonymous

yes 4

84. anonymous

now do the other triangel?

85. anonymous

now we can use like triangle ratios 4/5=7/x

86. anonymous

so 4 sqare + 5 square = 7sqare?

87. anonymous

no, no square

88. anonymous

just ratio, just division

89. anonymous

so 0.8=7

90. anonymous

4/5=7/x .8=7/x .8x=7

91. anonymous

oh ok wow being sick for one day of notes can rweally heart you

92. anonymous

haha, no problem

93. anonymous

wait # 28 its 2x and 2x+4 and the length of the hypot is 4x-4

94. anonymous

@cherio12

95. anonymous

yes, just apply the Pythagorean theorem

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