How to determine the legs of a 45 45 90 triangle when given the hypotenuse

The video tutorial explains the properties of a 45-45-90 triangle, focusing on how to find the hypotenuse by multiplying the leg by the square root of 2. It then addresses the reverse process of finding the leg from the hypotenuse by dividing by the square root of 2. The tutorial concludes with a discussion on rationalizing the denominator by multiplying both the numerator and denominator by the square root of 2 to eliminate the square root from the denominator.

What is the relationship between the legs of a 454590 triangle and the hypotenuse?

How do you find the hypotenuse of a triangle when the legs are equal?

What steps must be taken to find the leg of a triangle when given the hypotenuse?

Explain the process of rationalizing the denominator when calculating the leg of a triangle.

Why is it important to eliminate the square root in the denominator?