Question

1. find x and r .

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 right triangle, so the two legs are equal. Thus, \(x = 20\) (since the leg opposite 45° is equal to the other leg).

Step2: Calculate hypotenuse \(r\)

In a 45 - 45 - 90 triangle, hypotenuse \(r=\text{leg}\times\sqrt{2}\). Substituting the leg length (20), we get \(r = 20\sqrt{2}\).

Answer:

\(x = 20\), \(r=20\sqrt{2}\)