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 triangle formed by the ladder, the wall, and the ground a right triangle? Calculate the length of the ladder.

• 10 feet

• 5 feet

• 12 feet

• 8 feet

A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to plant a diagonal flower bed from one corner to the opposite corner, how long will the flower bed be?

• 9.00 meters

• 12.00 meters

• 11.66 meters

• 10.50 meters

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

• 17 cm

• 10 cm

• 13 cm

• 15 cm

A 15-foot tall tree casts a shadow that is 9 feet long. If you draw a right triangle using the height of the tree and the length of the shadow, what is the distance from the top of the tree to the tip of the shadow?

• 9 feet

• 17.49 feet

• 15 feet

• 18.5 feet

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

• 6 cm

• 12 cm

• 8 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?

• 45√2 feet

• 90√2 feet

• 180 feet

• 90 feet

A ramp is built to help wheelchair access to a building. The ramp rises 4 feet over a horizontal distance of 3 feet. Is the ramp a right triangle? Calculate the length of the ramp.

• 5 feet

• 4 feet

• 6 feet

• 3 feet

A right triangle has legs measuring 7 inches and 24 inches. What is the length of the hypotenuse?

• 25 inches

• 30 inches

• 20 inches

• 15 inches

A 20-foot high flagpole casts a shadow of 15 feet. If you draw a right triangle using the height of the flagpole and the length of the shadow, what is the distance from the top of the flagpole to the tip of the shadow?

• 30 feet

• 20 feet

• 25 feet

• 15 feet

A right triangle has a hypotenuse of 10 meters and one leg measuring 6 meters. What is the length of the other leg?

• 7 meters

• 8 meters

• 5 meters

• 9 meters