Pythagorean Theorem: Real-World Triangle Challenges

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

• 10 feet

• 14 feet

• 8 feet

• 12 feet

A rectangular park has a length of 30 meters and a width of 40 meters. What is the distance from one corner of the park to the opposite corner?

• 20 meters

• 50 meters

• 70 meters

• 60 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

Two friends are standing at points A and B, which are 5 miles apart. If one friend walks 12 miles north and the other walks 9 miles east, how far apart are they now?

• 15 miles

• 20 miles

• 10 miles

• 8 miles

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

• 8 cm

• 15 cm

• 10 cm

A drone flies from point A (2, 3) to point B (8, 7) in a straight line. What is the distance the drone traveled?

• 4√5

• 3√10

• 2√13

• 5√2

A right triangle has a hypotenuse of 15 inches and one leg of 9 inches. Calculate the length of the other leg.

• 14 inches

• 8 inches

• 10 inches

• 12 inches

A rectangular swimming pool is 25 meters long and 10 meters wide. What is the diagonal distance from one corner of the pool to the opposite corner?

• 20 meters

• 24 meters

• 26.93 meters

• 30 meters

A right triangle has angles of 90 degrees, 45 degrees, and 45 degrees. If one leg measures 7 cm, what is the length of the hypotenuse?

• 9.9 cm

• 10.5 cm

• 7.5 cm

• 8.5 cm

A person walks 3 blocks east and then 4 blocks north. How far are they from their starting point?

• 5 blocks

• 7 blocks

• 6 blocks

• 4 blocks