Question

what is the value of x

Explanation:

Step1: Identify the type of triangle

This is a right - angled triangle with one angle equal to \(45^{\circ}\). So, it is a \(45 - 45-90\) triangle. In a \(45 - 45-90\) triangle, the legs are equal.

Step2: Apply the property of \(45 - 45-90\) triangle

Let the two legs of the right - angled triangle be \(a\) and \(b\) and the hypotenuse be \(c\). For a \(45 - 45-90\) triangle, \(a = b\). Here, one leg is \(13\) and the other leg is \(x\).

Answer:

\(13\)