Solving Real-World Problems with the Pythagorean Theorem

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. How long is the ladder?

• 10 feet

• 8 feet

• 14 feet

• 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?

• 20 meters

• 26 meters

• 30 meters

• 22 meters

A cube has a side length of 5 cm. What is the length of the diagonal that runs from one corner of the cube to the opposite corner?

• 10 cm

• 7.07 cm

• 6.25 cm

• 8.66 cm

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 square has a diagonal that measures 14 cm. What is the length of one side of the square?

• 9.9 cm

• 8 cm

• 10 cm

• 12 cm

A triangular park has sides measuring 7 m, 24 m, and a third side that is unknown. If the park is a right triangle, what is the length of the unknown side?

• 30 m

• 25 m

• 20 m

• 22.9 m

A box is in the shape of a cube with a volume of 64 cubic inches. What is the length of one edge of the cube?

• 8 inches

• 2 inches

• 6 inches

• 4 inches

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

• 12 cm

• 10 cm

• 6 cm

• 8 cm

A rectangular prism has a length of 3 m, a width of 4 m, and a height of 12 m. What is the length of the diagonal from one corner of the prism to the opposite corner?

• 13 m

• 15 m

• 10 m

• 8 m

A right triangle has legs measuring 15 cm and 20 cm. Calculate the length of the hypotenuse and interpret what this means in a real-world context.

• 18 cm

• 30 cm

• 22 cm

• 25 cm