Right Triangle Challenges: Identify & Calculate Sides

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet. Is the ladder forming a right triangle? What is the length of the ladder?

• Yes, the ladder forms a right triangle. The length of the ladder is 10 feet.

• Yes, the ladder forms a right triangle. The length of the ladder is 6 feet.

• Yes, the ladder forms a right triangle. The length of the ladder is 8 feet.

• No, the ladder does not form a right triangle. The length of the ladder is 12 feet.

A rectangular garden has a length of 10 meters and a width of 24 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?

• 30 meters

• 22 meters

• 20 meters

• 26 meters

A right triangle has one leg measuring 9 cm and the hypotenuse measuring 15 cm. What is the length of the other leg?

• 12 cm

• 8 cm

• 10 cm

• 14 cm

A right triangle has legs measuring 7 inches and 24 inches. Calculate the length of the hypotenuse.

• 30 inches

• 15 inches

• 20 inches

• 25 inches

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base?

• 180 feet

• 90 feet

• 90√2 feet

• 45√2 feet

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

• 8 cm

• 10 cm

• 12 cm

• 6 cm

A ramp is built to help wheelchair access. If the ramp is 4 feet long and rises 3 feet high, is it a right triangle? What is the base length of the ramp?

• No, the ramp does not form a right triangle and the base length is 5 feet.

• Yes, the ramp forms a right triangle and the base length is √7 feet.

• Yes, the ramp forms a right triangle and the base length is 3 feet.

• Yes, the ramp forms a right triangle and the base length is 4 feet.

A kite is flying at a height of 30 meters. If the string is 50 meters long, how far is the kite from the point directly below it on the ground?

• 20 meters

• 40 meters

• 35 meters

• 45 meters

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

• 20 cm

• 15 cm

• 18 cm

• 22 cm