Special Right Triangles Quiz

What are the ratios for the sides of a 30-60-90 triangle?

• 1:1:√2

• 1:√3:2

• 1:√2:2

• 1:2:√3

In a 30-60-90 triangle, if the side opposite 30 degrees is 'y', what is the length of the hypotenuse?

• y√2

• y/2

• 2y

• y√3

How do you simplify the expression 9√6/√3?

• 9√2

• 3√2

• 6√3

• 3√6

If 2a equals 5√3, what is the value of 'a'?

• 5√3

• 5/2

• 5√3/2

• 10√3

In a 45-45-90 triangle, what is the ratio of the hypotenuse to one of the legs?

• 2:1

• 1:1

• 1:√2

• √2:1

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 4√3?

• 6√3

• 4√2

• 8√3

• 4√6

In a 30-60-90 triangle, if the side opposite 60 degrees is 10, what is the length of the side opposite 30 degrees?

• 5√3

• 5

• 10√3

• 10/√3

How do you express 10/√3 in a simplified form without a radical in the denominator?

• 10√3/3

• 10/3

• 3√10

• √10/3

If the side opposite 30 degrees in a 30-60-90 triangle is 'a', what is the length of the side opposite 60 degrees?

• 2a

• a√3

• a/2

• a√2

In a 30-60-90 triangle, if the hypotenuse is 12, what is the length of the side opposite 30 degrees?

• 12√3

• 12/√3

• 6√3

• 6