Question

find the value of each variable.
x = \square and y = \square
(simplify your answers. type exact answers, using radicals as needed.)

Explanation:

Step1: Identify triangle type

This is a 45-45-90 right triangle, so legs are equal.

Step2: Solve for x

Legs are congruent, so $x = 15$

Step3: Solve for hypotenuse y

Use 45-45-90 triangle rule: hypotenuse = leg $\times \sqrt{2}$
$y = 15\sqrt{2}$

Answer:

$x = 15$ and $y = 15\sqrt{2}$