Question

find the indicated side of the right triangle.
image of a right triangle with a 45° angle, a 45° angle, a right angle, one leg labeled 6, the other leg labeled x, and the hypotenuse labeled y
( x = ? )

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 right triangle (two 45° angles, one 90° angle), so it's an isosceles right triangle. In an isosceles right triangle, the legs are equal.

Step2: Determine length of \( x \)

One leg is given as 6. Since the legs of a 45 - 45 - 90 triangle are equal, the other leg \( x \) (which is a leg) must also be 6.

Answer:

6