Question

Which side lengths form a right triangle?

Answer 1

A and C.

Step-by-step Explanation

1. The sides are:

√6 = 2.45

√31 = 5.57 and 5.

These values do form a triangle.

2. √5 = 2.24

50 is > that 2 *2.24 so these do not form a triangle.

3. 9, 12 and 15 do form a triangle.

Answer 2

A and C

Explanation:

A

`= \sqrt{ {5}^(2) + ( √(6))^(2) } \\ = √(25 + 6) \\ = √(31)`

C

`= \sqrt{ {9}^(2) + {12}^(2) } \\ = √(81 + 144) \\ = √(225) \\ = 15`