Pythagorean Theorem

A ladder is leaning against a wall. If the base of the ladder is 6 feet away from the wall and the ladder is 8 feet long, how far is the top of the ladder from the ground?

• The top of the ladder is 7 feet away from the ground.

• The top of the ladder is 5 feet away from the ground.

• The top of the ladder is 10 feet away from the ground.

• The top of the ladder is 6.4 feet away from the ground.

A right-angled triangle has one side measuring 5 cm and the other side measuring 12 cm. What is the length of the hypotenuse?

• 13 cm

• 10 cm

• 15 cm

• 7 cm

A flagpole casts a shadow that is 15 meters long. If the angle of elevation from the tip of the shadow to the top of the flagpole is 60 degrees, how tall is the flagpole?

• 20 meters

• 30 meters

• 10 meters

• 25 meters

A right-angled triangle has a hypotenuse of 17 cm and one side measuring 8 cm. What is the length of the other side?

• 20 cm

• 10 cm

• 15 cm

• 12 cm

A ramp is 10 meters long and has a height of 6 meters. What is the distance from the base of the ramp to the top?

• The distance from the base to the top is 16 meters.

• The distance from the base to the top is 12 meters.

• The distance from the base to the top is 4 meters.

• The distance from the base to the top is 8 meters.

A right-angled triangle has one side measuring 9 inches and the hypotenuse measuring 15 inches. What is the length of the other side?

• 12 inches

• 10 inches

• 18 inches

• 6 inches

A ladder is leaning against a wall. If the ladder is 10 feet long and the top of the ladder is 8 feet away from the ground, how far is the base of the ladder from the wall?

• 2 feet

• 12 feet

• 6 feet

• 4 feet

A right-angled triangle has one side measuring 7 cm and the other side measuring 24 cm. What is the length of the hypotenuse?

• 15 cm

• 25 cm

• 31 cm

• 20 cm

A right-angled triangle has a hypotenuse of 20 inches and one side measuring 16 inches. What is the length of the other side?

• 12 inches

• 8 inches

• 18 inches

• 24 inches