Special Right Triangles Quiz

What are the two types of special right triangles discussed in the lesson?

• 30-60-90 and 45-45-90

• 30-30-120 and 45-45-90

• 60-60-60 and 30-60-90

• 45-45-90 and 60-60-60

In a 30-60-90 triangle, what is the relationship between the angles?

• The sum of the angles is 90 degrees

• The angles are 30, 60, and 120 degrees

• The sum of the angles is 180 degrees

• Each angle is 60 degrees

What is the length of the side opposite the 30° angle in a 30-60-90 triangle?

• 3x

• x√3

• 2x

• x

If the side opposite the 60° angle in a 30-60-90 triangle is 2x, what is the length of the hypotenuse?

• x

• 2x

• x√3

• 3x

In the example problem, if x is 8, what is the length of the side opposite the 60° angle?

• 16

• 24

• 8

• 8√3

In the example problem, if x is 8, what is the length of the hypotenuse?

• 24

• 8√3

• 16

• 8

If the hypotenuse of a 30-60-90 triangle is 18, what is the length of the side opposite the 30° angle?

• 18

• 12

• 9

• 6

In the second example, if the hypotenuse is 18, what is the length of the side opposite the 60° angle?

• 12

• 18

• 6√3

• 6

What is the key to solving problems involving 30-60-90 triangles?

• Knowing the Pythagorean theorem

• Using a calculator

• Memorizing the pattern of side lengths

• Drawing the triangle accurately

What should you do if you encounter a square root in the denominator while solving a 30-60-90 triangle problem?

• Multiply by the square root

• Rationalize the denominator

• Convert it to a decimal

• Leave it as is