## Nick2019 3 years ago I need help!!!

1. Nick2019

2. cherio12

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

3. cherio12

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. Nick2019

can you try 19?

5. Nick2019

@cherio12 can you try #19 plz

6. cherio12

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. cherio12

does this make sense?

8. Nick2019

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

9. Nick2019

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

10. cherio12

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

11. Nick2019

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

12. cherio12

what do you mean?

13. Nick2019

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

14. cherio12

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

15. Nick2019

thanks man! helped alot

16. cherio12

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

17. cherio12

no problem =D

18. Nick2019

k

19. Nick2019

wait so on # 20 i got 91.82592222ect

20. cherio12

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. Nick2019

so set it up as x2= 96 + 28?

22. cherio12

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

23. Nick2019

do get x by its self?

24. cherio12

yes

25. cherio12

|dw:1359577137858:dw|

26. Nick2019

but i still will get that 91.etc right?

27. cherio12

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

28. Nick2019

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

29. cherio12

o you mean for the 96, 28 problem?

30. Nick2019

yes

31. cherio12

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

32. cherio12

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

33. Nick2019

but you would still get 91.8259 right?

34. cherio12

no i got 100

35. cherio12

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

36. Nick2019

ohhh

37. Nick2019

now i see thakns agian lol

38. Nick2019

hey can you help @cherio12 with # 23

39. cherio12

sure

40. cherio12

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. Nick2019

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

42. cherio12

21

43. Nick2019

can you show how you did that?

44. cherio12

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

45. Nick2019

ok thanks i got 21

46. cherio12

no problem

47. Nick2019

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

48. cherio12

yes, your two legs are 6 and 3

49. Nick2019

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

50. Nick2019

@cherio12

51. cherio12

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

52. Nick2019

no 6 to the power 2 like 6*6

53. cherio12

that means squaring, but yes that is correct

54. Nick2019

wait that doesnt work

55. Nick2019

i tried both ways and got not a whole number

56. cherio12

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

57. Nick2019

so would 5.19 work?

58. Nick2019

@cherio12

59. cherio12

i got 7.937

60. cherio12

6^2+3^2=x^2

61. Nick2019

ya that was my second way

62. Nick2019

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

63. cherio12

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

64. cherio12

i gotta go eat..be back later

65. Nick2019

ok when you get back can you explain ratio?

66. Nick2019

@cherio12 you back?

67. cherio12

yes

68. cherio12

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

69. Nick2019

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

70. cherio12

no, there are two 11 sides

71. Nick2019

oh i see cuase of that line thingy

72. Nick2019

73. cherio12

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

74. Nick2019

so its 15.49

75. cherio12

yes

76. cherio12

does that make sense why?

77. Nick2019

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

78. Nick2019

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

79. Nick2019

@cherio12

80. cherio12

find the other leg in the 5,3 triangle first

81. Nick2019

5.83

82. Nick2019

wait no its 4

83. cherio12

yes 4

84. Nick2019

now do the other triangel?

85. cherio12

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

86. Nick2019

so 4 sqare + 5 square = 7sqare?

87. cherio12

no, no square

88. cherio12

just ratio, just division

89. Nick2019

so 0.8=7

90. cherio12

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

91. Nick2019

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

92. cherio12

haha, no problem

93. Nick2019

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

94. Nick2019

@cherio12

95. cherio12

yes, just apply the Pythagorean theorem