Special Right Triangles Quiz

What is the largest side in a 30-60-90 triangle?

• The side opposite the 45-degree angle

• The side opposite the 30-degree angle

• The side opposite the 60-degree angle

• The hypotenuse

In a 30-60-90 triangle, if the shortest side is 5, what is the length of the hypotenuse?

• 10√3

• 5

• 5√3

• 10

Which angle is opposite the side with length √3 in a 30-60-90 triangle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

If the side opposite the 30-degree angle in a 30-60-90 triangle is 4, what is the length of the side opposite the 60-degree angle?

• 8

• 4

• 8√3

• 4√3

If the side opposite the 60-degree angle in a 30-60-90 triangle is 6√3, what is the length of the hypotenuse?

• 12

• 12√3

• 6√3

• 6

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

• 1:1:√2

• 1:1:2

• 1:√3:2

• 1:2:√3

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

• 7

• 7√2

• 14√2

• 14

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

• 10

• 5√2

• 5

• 10√2

In a 45-45-90 triangle, what is the measure of each of the non-right angles?

• 30 degrees

• 90 degrees

• 45 degrees

• 60 degrees

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?

• The hypotenuse is half the length of a leg

• The hypotenuse is √2 times the length of a leg

• The hypotenuse is the same length as a leg

• The hypotenuse is twice the length of a leg