Real-Life Pythagorean Problems: Distance & Geometry

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?

• 14 feet

• 12 feet

• 8 feet

• 10 feet

A rectangular park has a length of 50 meters and a width of 30 meters. What is the distance between two opposite corners of the park?

• 40 meters

• 70 meters

• 58.31 meters

• 45 meters

A drone is flying 100 meters away from a point directly below it. If the drone is 40 meters above the ground, how far is the drone from the point on the ground directly below it?

• 80 meters

• 107.7 meters

• 100 meters

• 120 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

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 feet

• 180 feet

• 90√2 feet

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

• 6 miles

• 7 miles

• 5 miles

• 4 miles

A triangular garden has sides measuring 5 meters, 12 meters, and 13 meters. Is this triangle a right triangle?

• Yes, this triangle is a right triangle.

• Yes, this triangle is an equilateral triangle.

• No, this triangle is an isosceles triangle.

• No, this triangle is not a right triangle.

A kite is flying at a height of 30 meters. If the string is 50 meters long, how far is the kite from the point on the ground directly below it?

• 20 meters

• 30 meters

• 40 meters

• 60 meters

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

• 30 meters

• 20 meters

• 25 meters

• 15 meters

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

• 12 cm

• 8 cm

• 10 cm

• 14 cm