Understanding 45-45-90 Special Right Triangles

This video tutorial covers the properties and calculations related to 45-45-90 special right triangles. It explains how to determine the sides of these triangles using given legs or hypotenuse, and provides practice problems to reinforce learning. Additionally, it demonstrates how to find the area of a square using its diagonal.

What is the measure of each angle in a 45-45-90 triangle?

• 30°, 60°, 90°

• 45°, 45°, 90°

• 60°, 60°, 60°

• 90°, 90°, 90°

If one leg of a 45-45-90 triangle is 7, what is the length of the hypotenuse?

• 14√2

• 7

• 14

• 7√2

Given the hypotenuse of a 45-45-90 triangle is 10√2, what is the length of each leg?

• 5√2

• 5

• 10

• 10√2

If a leg of a 45-45-90 triangle is 5√2, what is the hypotenuse?

• 10√2

• 5

• 10

• 5√2

What is the process to find the leg length if the hypotenuse is given in a 45-45-90 triangle?

• Multiply by √2

• Divide by √2

• Add √2

• Subtract √2

In a 45-45-90 triangle, if the hypotenuse is 12, what is the length of each leg?

• 6

• 6√2

• 12

• 12√2

How do you rationalize the denominator when dividing by √2?

• Add √2

• Multiply by √2/√2

• Divide by 2

• Subtract √2

If the diagonal of a square is 8, what is the length of each side?

• 8√2

• 4

• 4√2

• 8

What is the area of a square with a diagonal of 8?

• 16

• 64

• 32

• 8

How do you find the area of a square if you know the diagonal?

• Use the formula (diagonal²)/2

• Square the diagonal

• Multiply the diagonal by √2

• Divide the diagonal by √2