Right Triangle Area & Angle Challenges for 8th Graders

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

• 4 feet

• 10 feet

• 6 feet

• 8 feet

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

• 45 degrees

• 60 degrees

• 75 degrees

• 90 degrees

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

• 20 cm²

• 30 cm²

• 24 cm²

• 12 cm²

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

• 48 square meters

• 128 square meters

• 96 square meters

• 72 square meters

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

• 8 cm

• 10 cm

• 6 cm

• 12 cm

A right triangle has angles measuring 90 degrees, 45 degrees, and x degrees. What is the value of x?

• 30 degrees

• 45 degrees

• 75 degrees

• 60 degrees

A ramp is built to help wheelchair access. If the ramp is 4 feet long and rises 3 feet high, what is the angle of elevation of the ramp?

• 60 degrees

• 30 degrees

• 41.41 degrees

• 50 degrees

A right triangle has a base of 9 inches and a height of 12 inches. Calculate the area of the triangle.

• 45 square inches

• 54 square inches

• 72 square inches

• 36 square inches

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

• 15 degrees

• 75 degrees

• 30 degrees

• 45 degrees

A right triangle has legs measuring 5 cm and 12 cm. What is the area of the triangle?

• 24 cm²

• 60 cm²

• 15 cm²

• 30 cm²