Special Right Triangles Quiz

What is the ratio of the sides in a 30-60-90 triangle?

• 2:1:√3

• 1:2:√3

• 1:√3:2

• 1:1:√2

If the hypotenuse of a 30-60-90 triangle is 16, what is the length of the side opposite the 30-degree angle?

• 4

• 8√3

• 16

• 8

In a 30-60-90 triangle, if the side opposite the 60-degree angle is 8√3, what is the hypotenuse?

• 16

• 8√3

• 8

• 16√3

How do you find the length of the side opposite the 60-degree angle if the side opposite the 30-degree angle is known?

• Divide by √3

• Multiply by 2

• Multiply by √3

• Divide by 2

If the side opposite the 30-degree angle is 5, what is the length of the hypotenuse?

• 10

• 5

• 15

• 5√3

What is the length of the side opposite the 60-degree angle if the hypotenuse is 10?

• 5√3

• 10√3

• 10

• 5

In a 30-60-90 triangle, if the side opposite the 30-degree angle is 8, what is the length of the side opposite the 60-degree angle?

• 16

• 8√3

• 8

• 4√3

How does the ratio of sides in a 45-45-90 triangle differ from a 30-60-90 triangle?

• Both have the same ratio

• 45-45-90 is 1:√3:2, 30-60-90 is 1:1:√2

• 45-45-90 is 1:1:√2, 30-60-90 is 1:√3:2

• 45-45-90 is 1:2:√3, 30-60-90 is 1:1:√2

What is the hypotenuse in a 45-45-90 triangle if one leg is 7?

• 7

• 7√2

• 7√3

• 14

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

• 5√2

• 10√2

• 10

• 5