Exploring Right Triangles and Distances in Geometry

A ladder is leaning against a wall. The base of the ladder is 6 feet away from the wall, and the top reaches a height of 8 feet. How long is the ladder?

• 12 feet

• 10 feet

• 5 feet

• 8 feet

Two points on a coordinate plane are A(2, 3) and B(5, 7). What is the distance between these two points?

• 3

• 5

• 4

• 7

A rectangular park has a length of 10 meters and a width of 24 meters. What is the distance from one corner of the park to the opposite corner?

• 30 meters

• 20 meters

• 26 meters

• 15 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 drone is flying at a height of 100 meters and is 300 meters away from the point directly below it. How far is the drone from that point?

• 400 meters

• 280 meters

• 250 meters

• 316.23 meters

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

• 45√2 feet

• 90√2 feet

• 180 feet

• 90 feet

A rectangular garden is 15 feet long and 20 feet wide. What is the diagonal distance across the garden?

• 15 feet

• 20 feet

• 25 feet

• 30 feet

A right triangle has vertices at (1, 1), (1, 4), and (5, 1). What is the length of the hypotenuse?

• 5

• 7

• 6

• 4

A person walks 3 blocks north and then 4 blocks east. How far are they from their starting point?

• 7 blocks

• 4 blocks

• 5 blocks

• 6 blocks

A right triangle has one leg on the x-axis from (0, 0) to (0, 6) and the other leg on the y-axis from (0, 0) to (8, 0). What is the length of the hypotenuse?

• 8

• 6

• 10

• 12