Understanding 45-45-90 Triangle Rules

This video tutorial explains the 45-45-90 triangle rules, which are useful shortcuts for solving problems on the SAT. It covers how to calculate the hypotenuse from a given leg and vice versa, using the square root of 2. The tutorial also includes a practical example involving a square, demonstrating how to find the perimeter using the diagonal and 45-45-90 triangle properties.

What is the primary rule for finding the hypotenuse in a 45-45-90 triangle?

• Divide the leg by 2

• Add the legs together

• Multiply the leg by the square root of 2

• Multiply the leg by 3

What is the significance of the 45-45-90 triangle in SAT problems?

• It simplifies complex calculations

• It is used to calculate areas

• It is not relevant

• It is a common type of problem

In a 45-45-90 triangle, if one leg is 5√2, what is the length of the hypotenuse?

• 5√2

• 10√2

• 10

• 5

What is the result of multiplying two square roots of 2 together?

• 2

• 4

• √2

• √4

When given the hypotenuse of a 45-45-90 triangle, what operation is used to find the leg?

• Subtract the square root of 2

• Divide by the square root of 2

• Multiply by the square root of 2

• Add the square root of 2

If the hypotenuse of a 45-45-90 triangle is 20, what is the length of each leg?

• 10

• 20

• 10√2

• 20√2

How does the diagonal of a square relate to a 45-45-90 triangle?

• It is half the length of a leg

• It is twice the length of a leg

• It is the hypotenuse of the triangle

• It is equal to one of the legs

Given a square with a diagonal of 10, what is the length of each side?

• 10

• 5

• 5√2

• 10√2

What is the perimeter of a square with a diagonal of 10?

• 20

• 20√2

• 40

• 40√2

In a 45-45-90 triangle, if the hypotenuse is 10, what is the length of each leg?

• 5

• 5√2

• 10

• 10√2