Determine the missing hypotenuse of a 45 45 90 triangle ex 2

The video tutorial explains how to find the missing legs of a 45-45-90 triangle. It covers the process of calculating the hypotenuse from a given leg by multiplying by the square root of 2, and conversely, finding a leg from the hypotenuse by dividing by the square root of 2. The tutorial also demonstrates how to rationalize the denominator to simplify expressions, ultimately providing a clear method to solve for the legs when given the hypotenuse.

Explain the process of finding the legs of a triangle when the hypotenuse is known.

What does multiplying by sqrt 2 on the top and bottom of a fraction achieve?