Exploring Distance: Pythagorean Theorem with Coordinates

A point A is located at (3, 4) and point B is at (7, 1). What is the distance between points A and B using the Pythagorean theorem?

• √13

• √20

• √10

• √5

A right triangle has one vertex at (0, 0), another at (6, 0), and the third at (6, 8). Calculate the length of the hypotenuse using the Pythagorean theorem.

• 10

• 12

• 8

• 14

A ladder is leaning against a wall. The base of the ladder is 5 feet from the wall, and the top reaches a height of 12 feet. How long is the ladder?

• 10 feet

• 15 feet

• 13 feet

• 11 feet

Two points, C(2, 3) and D(5, 7), form a diagonal of a rectangle. Find the length of the diagonal using the Pythagorean theorem.

• 5

• 7

• 8

• 3

A rectangular park has a width of 30 meters and a length of 40 meters. What is the distance from one corner of the park to the opposite corner?

• 40 meters

• 50 meters

• 70 meters

• 30 meters

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

• 15 cm

• 18 cm

• 13 cm

• 10 cm

A drone flies from point E(1, 1) to point F(4, 5). Calculate the straight-line distance it traveled using the Pythagorean theorem.

• 3

• 5

• 7

• 6

A right triangle has one leg measuring 8 inches and the hypotenuse measuring 10 inches. What is the length of the other leg?

• 4 inches

• 8 inches

• 12 inches

• 6 inches

A rectangular garden is 15 meters long and 20 meters wide. What is the distance from one corner of the garden to the opposite corner?

• 30 meters

• 15 meters

• 25 meters

• 20 meters

A right triangle has vertices at (0, 0), (0, 5), and (12, 0). Calculate the length of the hypotenuse using the Pythagorean theorem.

• 15

• 13

• 10

• 12