Right Triangle Challenges: Find Missing Sides & More

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 on the wall. Is the ladder forming a right triangle? If so, what is the length of the ladder?

• 12 feet

• 10 feet

• 5 feet

• 8 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?

• 22 meters

• 30 meters

• 26 meters

• 20 meters

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. Calculate the length of the hypotenuse.

• 17 cm

• 13 cm

• 10 cm

• 15 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

• 90 feet

• 180 feet

• 45√2 feet

A 15-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?

• 17.49 feet

• 9 feet

• 20 feet

• 15 feet

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

• 10 cm

• 12 cm

• 8 cm

• 6 cm

A ramp is built to help wheelchair access to a building. If the ramp is 4 feet long and rises to a height of 3 feet, what is the horizontal distance from the base of the ramp to the building?

• Approximately 2.65 feet

• 4.5 feet

• 1.5 feet

• 3.5 feet

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

• 30 meters

• 25 meters

• 22 meters

• 20 meters

A right triangle has a hypotenuse of 10 inches and one leg measuring 6 inches. Calculate the length of the other leg.

• 9 inches

• 8 inches

• 7 inches

• 5 inches

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?

• 30 meters

• 40 meters

• 60 meters

• 20 meters