Grade 8: Pythagorean Problems & Square Roots Challenge

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. What is the length of the ladder?

• 5 feet

• 12 feet

• 10 feet

• 8 feet

A square garden has a perimeter of 48 meters. What is the length of one side of the garden?

• 10 meters

• 12 meters

• 14 meters

• 16 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 rectangular park has a length of 20 meters and a width of 15 meters. What is the diagonal distance across the park?

• 20 meters

• 15 meters

• 30 meters

• 25 meters

A square tile has an area of 64 square inches. What is the length of one side of the tile?

• 12 inches

• 8 inches

• 10 inches

• 6 inches

A right triangle has a hypotenuse of 10 cm and one leg measuring 6 cm. What is the length of the other leg?

• 8 cm

• 7 cm

• 5 cm

• 9 cm

A swimming pool is in the shape of a square with a perimeter of 40 meters. What is the length of one side of the pool?

• 5 meters

• 20 meters

• 10 meters

• 15 meters

A triangular plot of land has sides measuring 7 m, 24 m, and 25 m. Is this a right triangle? If so, what is the length of the longest side?

• No, the longest side is 24 m.

• Yes, the longest side is 7 m.

• No, it is not a triangle.

• Yes, the longest side is 25 m.

A square room has an area of 81 square feet. What is the length of one side of the room?

• 10 feet

• 9 feet

• 7 feet

• 8 feet

A right triangle has legs measuring 5 cm and 12 cm. Estimate the length of the hypotenuse using the Pythagorean theorem.

• 15 cm

• 14 cm

• 10 cm

• 13 cm