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?

• 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?

• 26 meters

• 30 meters

• 22 meters

• 20 meters

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

• 10 cm

• 12 cm

• 14 cm

• 8 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

• 180 feet

• 90 feet

A right triangle has legs measuring 5 inches and 12 inches. Calculate the length of the hypotenuse. Is this triangle a right triangle?

• 15 inches

• 12 inches

• 10 inches

• 13 inches

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

• 18 feet

• 9 feet

• 12 feet

• 15 feet

A right triangle has a base of 7 cm and a height of 24 cm. What is the length of the hypotenuse?

• 20 cm

• 22 cm

• 25 cm

• 30 cm

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

• 5 feet, yes, it is a right triangle.

• 6 feet, yes, it is a right triangle.

• 5 feet, no, it is not a right triangle.

• 4 feet, no, it is not a right triangle.

A right triangle has one leg measuring 8 meters and a hypotenuse measuring 10 meters. What is the length of the other leg?

• 6 meters

• 7 meters

• 9 meters

• 5 meters

A triangular park has one side measuring 30 meters and another side measuring 40 meters. If these two sides form a right angle, what is the length of the hypotenuse?

• 50 meters

• 45 meters

• 60 meters

• 70 meters