Question

Help me with this, it's Pythagorean theorem.

Answer 1

Let the required side of the triangle be x

By Pythagoras theorem we get,

`x = \sqrt{ {13}^(2) - {12}^(2) } \\ = √(169 - 144) \\ = √(25) \\ = \sqrt{ {5}^(2) } \\ = 5`

5 is the right answer.

Answer 2

Explanation:

Let x represent the missing side length.

By Pythagoras' Theorem,

We have x² + 12² = 13².

Therefore x² = 13² - 12² = 25 and x = 5.

(x = -5 is rejected as side lengths are positive)