Applying the Pythagorean Theorem in Real-Life Scenarios

A ladder is leaning against a wall. The base of the ladder is 6 feet from the wall, and the ladder reaches a height of 8 feet on the wall. How long is the ladder?

• 14 feet

• 12 feet

• 8 feet

• 10 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?

• 26 meters

• 22 meters

• 30 meters

• 20 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

• 13 cm

• 15 cm

• 10 cm

A cube has a diagonal that runs from one corner to the opposite corner. If each side of the cube is 4 cm, what is the length of the diagonal?

• 7.50 cm

• 6.93 cm

• 8.00 cm

• 5.00 cm

A triangular park has one side measuring 15 meters and another side measuring 20 meters. What is the length of the third side if it forms a right triangle?

• 30 meters

• 18 meters

• 22 meters

• 25 meters

A 5-foot tall person is standing 12 feet away from a wall. If they look up at the top of the wall, which is 10 feet tall, what is the angle of elevation from their eyes to the top of the wall?

• 45.00 degrees

• 30.00 degrees

• 22.62 degrees

• 15.75 degrees

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

• 10 cm

• 9.9 cm

• 12 cm

• 7 cm

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 rectangular box has a length of 3 feet, a width of 4 feet, and a height of 12 feet. What is the length of the diagonal that runs from one corner of the box to the opposite corner?

• 10 feet

• 12 feet

• 13 feet

• 15 feet

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

• 25 inches

• 15 inches

• 20 inches

• 30 inches