Special Right Triangles Quiz

What is the ratio of the sides in a 45-45-90 triangle?

• 1:1:1

• 1:2:√3

• 1:√3:2

• 1:1:√2

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

• Z/2

• Z

• 2Z

• Z√3

How can you simplify the expression 12/√3?

• 4√3

• 12√3

• 4/√3

• 12/3

If the side opposite the 60-degree angle in a 30-60-90 triangle is 11√3, what is the length of the side opposite the 30-degree angle?

• 11√3

• 5.5

• 11

• 22

In a 30-60-90 triangle, if 2x equals 2√2, what is the value of x?

• 1

• √2

• 2

• 2√2

What is the length of the side opposite the 60-degree angle if the side opposite the 30-degree angle is √2?

• √6

• 2

• √3

• √2

In a 45-45-90 triangle, if the hypotenuse is 7, what is the length of each leg?

• 14

• 7√2

• 7

• 7/√2

How can you rationalize the denominator of 7/√2?

• 7√2

• 7/2

• 7√2/2

• 7/√2

What is the simplified form of 7√2/√2?

• 14

• 3.5

• 7√2

• 7

In a 45-45-90 triangle, if one leg is 7√2/2, what is the length of the hypotenuse?

• 7/2

• 7

• 7√2

• 14