Question

in this 45 - 45 - 90 triangle, i have been given a leg, so to find the other leg
use the same length for the second leg
multiply that leg by √2
divide that leg by √2
multiply that leg by 2

Explanation:

Step1: Properties of 45 - 45 - 90 triangle

In a 45 - 45 - 90 triangle, the two legs are of equal length. Let the length of one leg be \(a\) and the other leg be \(b\). By the angle - side relationship (since the angles opposite the legs are equal, \(45^{\circ}\) each), using the tangent function \(\tan45^{\circ}=\frac{a}{b}\). Since \(\tan45^{\circ} = 1\), we have \(a = b\).

Answer:

Use the same length for the second leg