Question

Which length could represent the side length of a right triangle?

Answer 1

Answer:

A

Step-by-step explanation:

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

I

longest side squared = ($\sqrt{74}$ )² = 74

5² + 7² = 25 + 49 = 74

Thus these sides represent a right triangle

II

longest side squared = ($\sqrt{106}$ )² = 106

7² + 8² = 49 + 64 = 113

These sides do not represent a right triangle

III

longest side squared = ($\sqrt{133}$ )² = 133

6² + 10² = 36 + 100 = 136

These sides do not represent a right triangle

The only valid sides are I → A