Mastering Right Triangle Areas & Angles: Grade 8 Quiz

A right triangle has one leg measuring 6 cm and the other leg measuring 8 cm. What is the area of the triangle?

• 20 cm²

• 18 cm²

• 24 cm²

• 30 cm²

In a right triangle, one angle measures 30 degrees. What is the measure of the other non-right angle?

• 45 degrees

• 75 degrees

• 60 degrees

• 90 degrees

A ladder leans against a wall, forming a right triangle with the ground. If the ladder is 10 feet long and the base is 6 feet from the wall, what is the height at which the ladder touches the wall?

• 8 feet

• 6 feet

• 4 feet

• 10 feet

A right triangle has an area of 24 square meters and one leg measuring 4 meters. What is the length of the other leg?

• 16 meters

• 12 meters

• 10 meters

• 8 meters

In a right triangle, if one angle measures 45 degrees, what is the measure of the other non-right angle?

• 45 degrees

• 30 degrees

• 90 degrees

• 60 degrees

A triangular park has a right angle at one corner. If the two legs are 12 meters and 16 meters long, what is the area of the park?

• 48 square meters

• 120 square meters

• 96 square meters

• 72 square meters

A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?

• 12 cm

• 8 cm

• 14 cm

• 10 cm

If a right triangle has an area of 50 square inches and one leg is 10 inches long, what is the length of the other leg?

• 5 inches

• 10 inches

• 20 inches

• 15 inches

In a right triangle, if one angle measures 60 degrees, what is the measure of the other non-right angle?

• 45 degrees

• 15 degrees

• 75 degrees

• 30 degrees

A right triangle has legs measuring 9 cm and 12 cm. Calculate the area of the triangle and the length of the hypotenuse.

• Area: 60 cm², Hypotenuse: 16 cm

• Area: 45 cm², Hypotenuse: 13 cm

• Area: 72 cm², Hypotenuse: 18 cm

• Area: 54 cm², Hypotenuse: 15 cm