Exploring Right Triangles and the Pythagorean Theorem

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. Is the ladder forming a right triangle with the wall and the ground?

• Yes, the ladder is forming a right triangle with the wall and the ground.

• No, the ladder is leaning too steeply to form a right triangle.

• No, the ladder is not forming a triangle at all.

• Yes, but the ladder is too short to reach the wall.

A rectangular park has a length of 30 meters and a width of 40 meters. If you want to find the distance from one corner of the park to the opposite corner, which theorem would you use?

• Law of cosines

• Triangle inequality theorem

• Area formula for rectangles

• Pythagorean theorem

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

• 15 cm

• 17 cm

• 13 cm

A 5-foot tall person is standing 12 feet away from a tree. If the top of the tree is 13 feet high, what is the distance from the person to the top of the tree?

• 15 feet

• approximately 14.42 feet

• 12 feet

• 10 feet

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

• 10 cm

• 12 cm

• 14 cm

• 8 cm

A ramp is built to help wheelchair access. If the ramp is 10 feet long and rises 4 feet high, what is the horizontal distance from the base of the ramp to the wall?

• 9.17 feet

• 8.5 feet

• 7.2 feet

• 10 feet

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

• 90 feet

• 180 feet

A right triangle has legs measuring 7 inches and 24 inches. Calculate the length of the hypotenuse.

• 15 inches

• 25 inches

• 30 inches

• 20 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?

• 40 meters

• 60 meters

• 20 meters

• 30 meters

A right triangle has a hypotenuse of 25 cm and one leg measuring 20 cm. What is the length of the other leg?

• 10 cm

• 20 cm

• 30 cm

• 15 cm