Using Algebra to Find Hypotenuses in Real-Life Scenarios

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. What is the length of the ladder?

• 5 feet

• 10 feet

• 12 feet

• 8 feet

A right triangle has one leg measuring 5 cm and the other leg measuring 12 cm. Calculate the length of the hypotenuse.

• 14 cm

• 13 cm

• 10 cm

• 15 cm

A park has a triangular flower bed where one side is 9 meters long and the other side is 12 meters long. What is the length of the diagonal that connects the two ends of these sides?

• 10 meters

• 13 meters

• 15 meters

• 18 meters

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

• 3 feet

• 4 feet

• 5 feet

• 6 feet

A right triangle has legs measuring 7 inches and 24 inches. Find the length of the hypotenuse using the Pythagorean theorem.

• 25 inches

• 26 inches

• 20 inches

• 30 inches

A triangular garden has one leg measuring 10 feet and the hypotenuse measuring 26 feet. What is the length of the other leg?

• 24 feet

• 20 feet

• 30 feet

• 22 feet

A right triangle has a base of 15 meters and a height of 20 meters. What is the length of the hypotenuse?

• 15 meters

• 20 meters

• 25 meters

• 30 meters

A kite is flying at a height of 30 feet, and the string makes a 60-degree angle with the ground. If the string is 50 feet long, how far is the kite from the point directly below it on the ground?

• 25 feet

• 20 feet

• 30 feet

• 40 feet

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

• 6 cm

• 5 cm

• 7 cm

• 9 cm

A construction worker needs to determine the length of a diagonal brace for a rectangular frame that is 6 feet wide and 8 feet tall. What is the length of the brace?

• 8 feet

• 5 feet

• 10 feet

• 12 feet