Question

Which of the following is not a Pythagorean triple?

A.
28, 45, 53
B.
16, 63, 65
C.
13, 84, 85
D.
11, 61, 62

Answer 1

a pythagorean triple will satisfy the equation

a^2 + b^2 = c^2

for each answer choice, plug in the values for a, b, and c, and if the equation is satisfied, then it is a pythagorean triple

Answer 2

what do you mean satisfied?

Answer 3

"satisfied" means the equation is true (both sides of the equal sign are equal)

Answer 4

im confused

Answer 5

for example, we can look at answer choice A and let a = 28, b = 45, and c = 53. if a^2 + b^2 = c^2 then the equation is satisfied

Answer 6

784 +2025 = 7809

Answer 7

for answer choice A,

a = 28
b = 45
c = 53

a^2 + b^2 = c^2
28^2 + 45^2 = 53^2
784 + 2025 = 2809
2809 = 2809

since both sides of the equal sign are equal, the equation is satisfied, and this is a Pythagorean triple (meaning, A is not the answer)

keep going until you find the answer choice that ISN'T satisfied

Answer 8

so the answer would be C

Answer 9

nope, check your math again

Answer 10

13, 84, 85
13 ^2 = 169
84^2 = 7056
7225

Answer 11

7059 + 169 = 7225
7225 = 7225
the equation is satisfied, so C is not our answer... please keep going with the other choices...

Answer 12

D.
11, 61, 62


11 x11 = 121
61 x 61 = 3721
3844 = 63x63

Answer 13

right, D is our answer because

121 + 3721 is NOT equal to 3844

Answer 14

thank you