Right Triangle Challenges: Identify & Calculate Sides

A ladder is leaning against a wall. The base 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.

• 8 feet

• 14 feet

• 12 feet

• 10 feet

A rectangular park has a length of 30 meters and a width of 40 meters. If a diagonal path is built across the park, what is the length of the path?

• 45 meters

• 50 meters

• 60 meters

• 55 meters

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

• 10 cm

• 13 cm

• 17 cm

• 15 cm

A 5-foot tall person is standing 12 feet away from a tree. If the top of the tree is 15 feet high, what is the distance from the person to the top of the tree?

• 10.5 feet

• 15.62 feet

• 12.5 feet

• 20 feet

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

• 8 cm

• 10 cm

• 15 cm

• 12 cm

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

• 90√2 feet

• 45√2 feet

• 180 feet

• 90 feet

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

• 20 inches

• 25 inches

• 30 inches

• 26 inches

A ramp is built to help wheelchair access. If the ramp rises 3 feet over a horizontal distance of 4 feet, is the ramp a right triangle? What is the length of the ramp?

• 4 feet

• 3 feet

• 6 feet

• 5 feet

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

• 9 meters

• 7 meters

• 8 meters

• 5 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?

• 20 meters

• 30 meters

• 40 meters

• 60 meters