Learn how to use a special right triangle to determine missing length when given hypotenuse

The video tutorial explains how to use special right triangle relationships to solve for missing variables in a triangle. It begins by identifying a 30-60-90 triangle through angle relationships and then describes the special relationships between the sides of such a triangle. The tutorial demonstrates how to calculate the side lengths using these relationships, providing a step-by-step guide to solving for missing sides.

What is the measure of the angle that complements a 150-degree angle in a linear pair?

• 60 degrees

• 90 degrees

• 30 degrees

• 120 degrees

In a 30-60-90 triangle, if the short leg is x, what is the length of the hypotenuse?

• 2x

• x

• x√3

• x√2

How do you calculate the long leg of a 30-60-90 triangle if the short leg is known?

• Divide the short leg by 2

• Multiply the short leg by √2

• Multiply the short leg by √3

• Multiply the short leg by 2

If the hypotenuse of a 30-60-90 triangle is 2√2, what is the length of the short leg?

• 2√3

• √2

• 2

• 4

What operation is used to find the long leg from the short leg in a 30-60-90 triangle?

• Add √3

• Subtract √3

• Divide by √3

• Multiply by √3