Question

find x using special right triangles. write your answer in simplified radical form. 17 45° 45° x

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 right triangle. In a 45 - 45 - 90 triangle, the legs are equal, and the hypotenuse \(x\) is related to the leg \(a\) (here \(a = 17\)) by the formula \(x=a\sqrt{2}\).

Step2: Apply the formula

Substitute \(a = 17\) into the formula \(x=a\sqrt{2}\). So \(x = 17\sqrt{2}\).

Answer:

\(17\sqrt{2}\)