Pythagorean Challenges: Finding Hypotenuse & Sides

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. What is the length of the ladder?

• 8 feet

• 5 feet

• 10 feet

• 12 feet

Tags

CCSS.8.G.B.8

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?

• 22 meters

• 20 meters

• 30 meters

• 26 meters

Tags

CCSS.8.G.B.8

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

• 10 cm

• 8 cm

• 12 cm

• 14 cm

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.8

A ramp is built to help wheelchair access. If the ramp rises 3 feet over a horizontal distance of 4 feet, what is the length of the ramp?

• 6 feet

• 7 feet

• 5 feet

• 4 feet

Tags

CCSS.8.G.B.8

A kite is flying at a height of 30 meters, and the string makes a 60-degree angle with the ground. How long is the string?

• 15 meters

• 20√3 meters

• 25√2 meters

• 30 meters

Tags

CCSS.HSG.SRT.C.8

A right triangle has a base of 12 inches and a height of 16 inches. What is the length of the hypotenuse?

• 18 inches

• 20 inches

• 15 inches

• 22 inches

Tags

CCSS.8.G.B.7

A swimming pool is rectangular, measuring 20 meters by 15 meters. What is the length of the diagonal across the pool?

• 25 meters

• 22 meters

• 18 meters

• 30 meters

Tags

CCSS.8.G.B.8

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

• 10 cm

• 8 cm

Tags

CCSS.8.G.B.7