How to determine the height of a figure using a 45 45 90 triangle ex

The video tutorial explains how to determine the height of a quadrilateral resembling a parallelogram using special right triangle relationships. The instructor demonstrates the process by isolating a 45-degree right triangle from the quadrilateral and using the properties of 45-degree triangles to calculate the missing height. The method involves converting between the hypotenuse and the leg of the triangle using square roots, and rationalizing the denominator to find the final answer.

Why is it important to rationalize the denominator when calculating the height?

What is the final answer for the height of the quadrilateral in terms of square roots?