Question

Solve for x. Leave your answer in simplest radical form.

Answer 1

Answer:$2\sqrt{3}$

Step-by-step explanation:

Use pytha. theorem on leftmost triangle and get sqrt(13)

Use it again on the other triangle: 13+b^2=25

Answer 2

First, we find the hypotenuse of the first triangle

(Use the pythagorean theorem) : $3^{2} + 2^{2} = 9 + 4 = 13$

So, the length of the side = $\sqrt{13}$

Now, we find x :

x(squared) = $5^{2} -\sqrt{13} ^{2}$ = 25 - 13 = 12

-> x = $\sqrt{12}$ = 2$\sqrt{3}$