Special Right Triangles Mastery Quiz

Which of the following is a characteristic of a 45-45-90 triangle?

• The lengths of the legs are equal.

• The length of the hypotenuse is twice the length of one leg.

• The lengths of the legs are in a ratio of 1:2.

In a 30-60-90 triangle, if the shorter leg measures 6 cm, what is the length of the hypotenuse?

• 12 cm

A right triangle has one angle of 45 degrees. If one leg measures 8 cm, what is the length of the hypotenuse?

• 16 cm

• 8 cm

Using the Pythagorean theorem, calculate the length of the missing side in a right triangle with legs of 9 cm and 12 cm.

• 15 cm

• 21 cm

• 18 cm

• 10.5 cm

In a 30-60-90 triangle, the longer leg measures 10 cm. What is the length of the shorter leg?

• 5 cm

• 20 cm

A 45-45-90 triangle has a hypotenuse of 14 cm. What is the length of each leg?

• 7 cm

• 14 cm

If a right triangle has sides of 3 cm, 4 cm, and 5 cm, which of the following statements is true?

• It is a 45-45-90 triangle.

• It is a 30-60-90 triangle.

• It is not a special right triangle.

• It can be either a 45-45-90 or a 30-60-90 triangle.

In a 30-60-90 triangle, if the hypotenuse measures 16 cm, what is the length of the longer leg?

• 8 cm

• 45° and 45°

• 30° and 60°

• 45° and 90°

• 30° and 90°

Using the Pythagorean theorem, find the length of the missing side in a right triangle with one leg of 8 cm and a hypotenuse of 10 cm.

• 6 cm