Pythagorean Challenges: Find Missing Sides in Real Life

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

• 14 feet

• 8 feet

• 12 feet

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal of the garden?

• 20 meters

• 26 meters

• 30 meters

• 22 meters

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 15 cm

• 17 cm

• 10 cm

• 13 cm

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base?

• 45√2 feet

• 90√2 feet

• 180 feet

• 90 feet

A ramp is built to help wheelchair access. If the ramp rises 4 feet and extends 3 feet horizontally, what is the length of the ramp?

• 7 feet

• 4 feet

• 6 feet

• 5 feet

A kite is flying at a height of 30 meters. If the string is pulled taut and makes a 40-degree angle with the ground, how long is the string?

• 46.15 meters

• 35.7 meters

• 50.2 meters

• 25.5 meters

A swimming pool is rectangular, measuring 15 meters by 20 meters. What is the distance from one corner of the pool to the opposite corner?

• 20 meters

• 30 meters

• 15 meters

• 25 meters

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

• 6 cm

• 8 cm

• 10 cm

A tree is leaning and forms a right triangle with the ground. If the tree is 15 feet tall and the base is 9 feet from the base of the tree, how far is the top of the tree from the ground?

• 15 feet

• 17.44 feet

• 20 feet

• 12 feet

A triangular park has one side measuring 7 meters and another side measuring 24 meters. What is the length of the third side if it forms a right triangle?

• 22 meters

• 25 meters

• 30 meters

• 20 meters