Right Triangle Challenges: Identify & Calculate Sides

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

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

• Yes, the ladder forms a right triangle. The length of the ladder is 8 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 10 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

• 14 cm

• 10 cm

A baseball diamond is a square with each side measuring 90 feet. If a player runs from home plate to second base, how far does the player run?

• 90√2 feet

• 45√2 feet

• 90 feet

• 180 feet

A 12-foot tall tree casts a shadow that is 9 feet long. If you draw a line from the top of the tree to the end of the shadow, what is the length of that line?

• 18 feet

• 15 feet

• 9 feet

• 12 feet

A right triangle has legs measuring 5 inches and 12 inches. What is the length of the hypotenuse?

• 14 inches

• 15 inches

• 10 inches

• 13 inches

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

• The base of the ramp is approximately 2.65 feet.

• The base of the ramp is 5 feet.

• The base of the ramp is 4 feet.

• The base of the ramp is 3 feet.

A triangular park has one side measuring 7 meters and another side measuring 24 meters. If the park is a right triangle, what is the length of the third side?

• 30 meters

• 20 meters

• 25 meters

• 15 meters

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

• 60 meters

• 40 meters

• 30 meters

• 20 meters

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

• 8 cm

• 14 cm

• 12 cm

• 10 cm