Pythagorean Challenges: Right Triangles and Lengths

A ladder is leaning against a wall. The foot of the ladder is 4 feet away from the wall, and the ladder reaches a height of 3 feet on the wall. How long is the ladder?

• 7 feet

• 5 feet

• 4 feet

• 6 feet

A rectangular garden has a length of 10 meters and a width of 6 meters. If a diagonal path is added, what is the length of the path?

• 9.00 meters

• 10.50 meters

• 11.66 meters

• 12.00 meters

A right triangle has one leg measuring 5 cm and the other leg measuring x cm. If the hypotenuse is 13 cm, what is the value of x?

• 10

• 8

• 15

• 12

A right triangle has a hypotenuse of 15 inches and one leg measuring 9 inches. What is the length of the other leg?

• 10 inches

• 12 inches

• 14 inches

• 8 inches

A park is in the shape of a right triangle with one leg measuring 12 meters and the other leg measuring 16 meters. What is the length of the diagonal path across the park?

• 22 meters

• 18 meters

• 15 meters

• 20 meters

A right triangle has a base of 8 cm and a height of 6 cm. What is the length of the hypotenuse?

• 12 cm

• 10 cm

• 5 cm

• 8 cm

A rectangular swimming pool is 20 feet long and 15 feet wide. What is the distance from one corner of the pool to the opposite corner?

• 15 feet

• 25 feet

• 20 feet

• 30 feet

A right triangle has a hypotenuse of 10 cm and one leg measuring 6 cm. Find the length of the other leg using the Pythagorean theorem.

• 5 cm

• 6 cm

• 8 cm

• 10 cm

A right triangle has legs measuring 7 cm and x cm. If the hypotenuse is 25 cm, what is the value of x?

• 24

• 30

• 15

• 20

A right triangle has one leg measuring 9 meters and a hypotenuse measuring 15 meters. What is the length of the other leg?

• 8 meters

• 14 meters

• 10 meters

• 12 meters