How to find the missing side of a right triangle given a 45 45 90 triangle

The video tutorial explains how to calculate the hypotenuse of a right triangle by multiplying the side length by the square root of 2. It then demonstrates how to solve for a variable Y by dividing by the square root of 2 and rationalizing the denominator. The process of rationalizing involves multiplying by the square root of 2 over itself to eliminate the square root from the denominator. The tutorial concludes with simplifying the expression and ensuring both sides are equal.

What is the result of multiplying 10 by sqrt 2 and how do you simplify it?

If you have 5 sqrt 2, what can you conclude about its equality with another expression?