Exploring the Pythagorean Theorem

A ladder is leaning against a wall. If the base of the ladder is 4 feet from the wall and the ladder is 5 feet long, how high does the ladder reach on the wall?

• 4 feet

• 3 feet

• 5 feet

• 2 feet

A rectangular garden has a length of 6 meters and a width of 8 meters. What is the length of the diagonal of the garden?

• 8 meters

• 12 meters

• 10 meters

• 5 meters

A right triangle has one leg measuring 3 cm and the other leg measuring 4 cm. What is the length of the hypotenuse?

• 8 cm

• 7 cm

• 6 cm

• 5 cm

A 10-meter long rope is tied to a post. If the other end of the rope is pulled straight out to form a right triangle with the ground, how far from the post can the end of the rope reach if it is pulled 6 meters high?

• 10 meters

• 8 meters

• 5 meters

• 7 meters

A square has a side length of 5 inches. What is the length of the diagonal of the square?

• 7.07 inches

• 10 inches

• 5 inches

• 6.25 inches

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

• 8 cm

• 10 cm

• 6 cm

A 12-foot tall tree casts a shadow that is 9 feet long. If you were to create a right triangle with the height of the tree and the length of the shadow, what is the length of the hypotenuse?

• 15 feet

• 18 feet

• 12 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?

• 90 feet

• 180 feet

• 90√2 feet

• 45√2 feet

A ramp is built to allow access to a stage that is 3 feet high. If the ramp is 4 feet long, how far is the base of the ramp from the stage?

• Approximately 2.65 feet

• 1.5 feet

• 3.5 feet

• 4.5 feet

A right triangle has legs measuring 7 cm and 24 cm. What is the length of the hypotenuse?

• 30 cm

• 25 cm

• 20 cm

• 26 cm