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 operation do you perform to find the hypotenuse from a side length in a right triangle?

• Add the square root of 2

• Divide by the square root of 2

• Multiply by the square root of 2

• Subtract the square root of 2

To find a side length from the hypotenuse, what operation should be performed?

• Multiply by the square root of 2

• Add the square root of 2

• Divide by the square root of 2

• Subtract the square root of 2

What is the purpose of rationalizing the denominator?

• To make the expression more complex

• To add a square root to the numerator

• To change the value of the expression

• To eliminate the square root from the denominator

After rationalizing the denominator, what should be done next?

• Add the square root of 2 to the numerator

• Multiply the entire expression by 2

• Simplify the expression

• Divide the numerator by 2

If one side of a right triangle is 5√2, what is the length of the other side if they are equal?

• 10

• 5

• 5√2

• 2√5