Question

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

Answer 1

Answer:
`2√(3)`

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 =
`√(13)`

Now, we find x :

x(squared) =
`5^(2) -√(13) ^(2)` = 25 - 13 = 12

-> x =
`√(12)` = 2
`√(3)`