Finding the height of a rhombus using pythagorean theorem

The video tutorial explains how to solve a geometry problem involving a triangle embedded in another figure. The task is to find the length of an unknown leg, H, using the Pythagorean theorem. The instructor identifies the hypotenuse and one leg, then calculates the unknown leg. The solution is simplified to express the length of the leg in terms of square roots.

What steps are taken to solve for H in the triangle?

What is the simplified version of the length of the leg as mentioned?