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.

In a 45-45-90 triangle, how do you calculate the hypotenuse if you know the length of one leg?

• Divide the leg by 2

• Multiply the leg by the square root of 2

• Multiply the leg by 2

• Divide the leg by the square root of 2

In a 45-45-90 triangle, if one leg is 5, what is the length of the hypotenuse?

• 5

• 5√2

• 10

• 10√2

If you have the hypotenuse of a 45-45-90 triangle, how can you find the length of one leg?

• Multiply the hypotenuse by 2

• Multiply the hypotenuse by the square root of 2

• Divide the hypotenuse by the square root of 2

• Divide the hypotenuse by 2

What is the purpose of rationalizing the denominator in a fraction?

• To add a square root to the numerator

• To eliminate the square root from the denominator

• To make the fraction larger

• To make the fraction smaller

When rationalizing the denominator, what do you multiply the fraction by?

• The square of the numerator

• The square root of the denominator

• The square root of the numerator

• The square of the denominator