Exploring Right Triangles: Pythagorean Theorem Quiz

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 the hypotenuse of a right triangle?

• No, the ladder forms an acute angle with the ground.

• Yes, the ladder is parallel to the wall.

• Yes, the ladder is the hypotenuse of a right triangle.

• No, the ladder is a vertical line.

A rectangular garden has a length of 10 meters and a width of 6 meters. What is the length of the diagonal that divides the garden into two right triangles?

• 10.5 meters

• 12 meters

• 11.66 meters

• 9 meters

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 13 cm

• 17 cm

• 10 cm

• 15 cm

A 5-foot tall person is standing 12 feet away from a tree. If they look up at the top of the tree, what is the height of the tree if the line of sight forms a right triangle?

• 10 feet

• 15 feet

• 8 feet

• 12 feet

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

• 90 feet

• 90√2 feet

• 180 feet

• 45√2 feet

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

• 4 feet

• 6 feet

• 5 feet

• 3 feet

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

• 10 cm

• 14 cm

• 8 cm

A kite is flying at a height of 30 meters. If the string is pulled taut and makes a 40-degree angle with the ground, how far is the kite from the person holding the string?

• 50.2 meters

• 35.5 meters

• 25.0 meters

• 46.7 meters

A right triangle has legs measuring 7 inches and 24 inches. Calculate the length of the hypotenuse and determine if it can be used in a real-world application like a roof truss.

• 25 inches

• 20 inches

• 30 inches

• 15 inches

A swimming pool is rectangular, measuring 20 meters by 15 meters. If a diagonal is drawn from one corner to the opposite corner, what is the length of the diagonal?

• 25 meters

• 15 meters

• 20 meters

• 30 meters