Right Triangle Challenges: Area & Trigonometric Ratios

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

• 30 cm²

• 24 cm²

• 20 cm²

• 18 cm²

In a right triangle, one angle measures 30 degrees and the hypotenuse is 10 m long. What is the length of the side opposite the 30-degree angle?

• 7 m

• 5 m

• 8 m

• 3 m

A ladder is leaning against a wall, forming a right triangle with the ground. If the ladder is 15 feet long and the base of the ladder is 9 feet from the wall, how high up the wall does the ladder reach?

• 14 feet

• 10 feet

• 8 feet

• 12 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

• 10 meters

• 8 meters

• 12 meters

A 45-degree right triangle has a hypotenuse of 14 inches. What is the length of each leg of the triangle?

• 10 inches

• 7√2 inches

• 5√3 inches

• 12 inches

A right triangle has a height of 12 cm and a base of 16 cm. Calculate the area of the triangle.

• 96 cm²

• 48 cm²

• 128 cm²

• 72 cm²

In a right triangle, the length of the adjacent side is 5 m and the angle opposite to the side is 60 degrees. What is the length of the hypotenuse?

• 6 m

• 12 m

• 8 m

• 10 m

A right triangle has a base of 10 cm and an area of 50 square cm. What is the height of the triangle?

• 20 cm

• 15 cm

• 10 cm

• 5 cm

A right triangle has one leg that is 7 cm long and a hypotenuse that is 25 cm long. What is the length of the other leg?

• 15 cm

• 20 cm

• 24 cm

• 10 cm

A right triangle is formed by a ramp that is 20 feet long and rises to a height of 15 feet. What is the angle of elevation of the ramp?

• 30 degrees

• 36.87 degrees

• 60 degrees

• 45 degrees