Question

Which side legnths form a right triangle? (25 POINTS)

Answer 1

B and C

Explanation:

A) 9² = 5² + 8²

81 = 25 + 64

81 = 89 (false)

B) 10² = 6² + 8²

100 = 36 + 64

100 = 100 (true)

C) (sqrt74)² = 5² + 7²

74 = 25 + 49

74 = 74 (true)

Answer 2

B and C

Explanation:

The triple that is correct would be the one that follows the Pythagorean Theorem:
`a^2+b^2=c^2` , where a is the shortest leg length, b is the other leg, and c is the longest side, or the hypotenuse.

Try A:
`5^2+8^2` =?
`9^2`

25 + 64 =? 81

89 =? 81

Clearly, these are not equal, so it is NOT A.

Try B:
`6^2+8^2` =?
`10^2`

36 + 64 =? 100

100 =? 100

Clearly, these are equal, so the answer is B.

Try C:
`5^2+7^2` =?
`(√(74) )^2`

25 + 49 =? 74

74 =? 74

Clearly, these are equal, so the answer is also C.

Thus, the answers are B and C.

Hope this helps!