Pythagorean Theorem in Real World Scenarios

A ladder is leaning against a wall. If the ladder is 5 meters long and the base is 3 meters away from the wall, how far is the top of the ladder from the ground?

• 4 meters

• 7 meters

• 2 meters

• 6 meters

A right-angled triangle has one side measuring 12 cm and another side measuring 16 cm. What is the length of the hypotenuse?

• 18 cm

• 14 cm

• 20 cm

• 24 cm

A rectangular field measures 40 meters by 30 meters. What is the length of the diagonal from one corner to the opposite corner?

• 35 meters

• 60 meters

• 45 meters

• 50 meters

A flagpole is 8 meters tall. If the base of the flagpole is 6 meters away from a building, how far up the building does the shadow of the flagpole reach?

• 5.33 meters

• 10 meters

• 12 meters

• 7.5 meters

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

• 13 mm

• 8 mm

• 10 mm

• 15 mm

A swimming pool is in the shape of a right-angled triangle with sides measuring 10 meters and 24 meters. What is the length of the diagonal across the pool?

• 26

• 20

• 30

• 28

A ladder is leaning against a wall. If the ladder is 7 meters long and the base is 4 meters away from the wall, how far is the top of the ladder from the ground?

• Approximately 6.2 meters

• Approximately 3.5 meters

• Approximately 4.8 meters

• Approximately 5.74 meters

A right-angled triangle has one side measuring 15 cm and another side measuring 20 cm. What is the length of the hypotenuse?

• 25 cm

• 30 cm

• 22 cm

• 18 cm

A rectangular room measures 5 meters by 12 meters. What is the length of the diagonal from one corner to the opposite corner?

• 10 meters

• 15 meters

• 20 meters

• 13 meters

A tree is 10 meters tall. If the base of the tree is 8 meters away from a fence, how far up the fence does the shadow of the tree reach?

• 15 meters

• 10.8 meters

• 5 meters

• 12.8 meters