Special Right Triangles Applications

A 45°-45°-90° triangle has a hypotenuse of 10 units. What is the length of one of its legs?

• 5 units

• 10 units

A 30°-60°-90° triangle has a hypotenuse of 20 units. What is the length of the longer leg?

• 10 units

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.

A 30-60-90 triangle has a hypotenuse of 20 cm. What is the length of the shorter leg?

• 10 cm

• 5 cm

• 10 cm

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

• 8 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 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