Question

Help please!!!

Find the value of x. If necessary, write your answer in simplest radical form.
24
20

Answer 1

`4 √(11)`

Explanation:

According to Pythagoras Theorem,

`{(hypotenuse)}^(2) - {height}^(2) = {(base)}^(2)`

`= > {24}^(2) - {20}^(2) = {x}^(2)`

`= > \: {x}^(2) = 576 - 400`

`= > {x}^(2) = 176`

`= > x = √(176)`

`= > x = √(2 * 2 * 2 * 2 * 11)`

`= > x = 2 * 2 √(11)`

`= > x = 4 √(11) (ans)`