Question

Find the unknown side length x write your answer in simplest radical form

Answer 1

Answer:

(B)$4\sqrt{37}$

Step-by-step explanation:

First, we determine the height of the triangle which we label as y.

Using Pythagoras Theorem.

$25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24$

In the smaller right triangle with hypotenuse, x

Base = 7-3 =4 Units

Height, y= 24 Units

Therefore, applying Pythagoras Theorem.:

$x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}$