Question

Find the exact length of the third side

Answer 1

`√(74)`

Explanation:

Use the Pythagorean theorem.

`a^2 + b^2 = c^2`

We are solving for the hypotenuse, c.

`c^2 = a^2 + b^2`

`c^2 = 5^2 + 7^2`

`c^2 = 25 + 49`

`c^2 = 74`

`c = √(74)`

Answer:
`√(74)`