Question

use special right triangles to solve for the value of x.
√14
7√2
7

Explanation:

Step1: Identify the type of right - triangle

This is a \(45^{\circ}-45^{\circ}-90^{\circ}\) right - triangle. In a \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle, the legs are equal.

Step2: Apply the property of \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle

In a \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle, if one leg is \(a\) and the other leg is \(b\), then \(a = b\). Here, one leg is \(7\) and the other leg is \(x\).

Answer:

\(7\)