Mastering Missing Sides in Pythagorean Word Problems

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?

• 14 feet

• 8 feet

• 10 feet

• 12 feet

A rectangular garden has a length of 10 meters and a width of 6 meters. What is the length of the diagonal of the garden?

• 11.66 meters

• 12 meters

• 10.5 meters

• 9 meters

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

• 8 cm

• 12 cm

• 14 cm

• 10 cm

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

• 90√2 feet

• 45√2 feet

• 180 feet

• 90 feet

A 5-foot tall person is standing 12 feet away from a wall. If they look up at a 30-degree angle, how high on the wall can they see? Use the Pythagorean theorem to find the height of the wall they can see.

• 11.92 feet

• 5.5 feet

• 8.0 feet

• 15.0 feet

A triangular park has one side measuring 7 meters and another side measuring 24 meters. If the angle between these two sides is a right angle, what is the length of the third side?

• 15 meters

• 30 meters

• 20 meters

• 25 meters

A right triangle has legs measuring 8 inches and 15 inches. What is the length of the hypotenuse?

• 17 inches

• 20 inches

• 12 inches

• 10 inches

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 directly below it on the ground?

• 30 meters

• 40 meters

• 20 meters

• 60 meters

A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?

• 12 cm

• 14 cm

• 10 cm

• 8 cm

A swimming pool is rectangular, measuring 20 meters in length and 15 meters in width. What is the length of the diagonal from one corner of the pool to the opposite corner?

• 15 meters

• 20 meters

• 25 meters

• 30 meters