Question

this is a 45-45-90 triangle. what is the measure of x? \\(\sqrt{13}\\) (right triangle with legs \\(\sqrt{13}\\) and x, right angle at the left vertex) \\(x = \sqrt{?}\\)

Explanation:

Step1: Identify legs in 45-45-90 triangle

In a 45-45-90 triangle, legs are equal. The given side $\sqrt{13}$ and $x$ are legs.

Step2: Set legs equal

Since legs are equal, $x = \sqrt{13}$. The question asks for the value inside the square root, so extract it.

Answer:

13