Right Triangle Challenges: Pythagorean Theorem & Distance

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet on the wall. Is the triangle formed by the ladder, the wall, and the ground a right triangle?

• Yes, it is an isosceles triangle.

• Yes, it is a right triangle.

• No, it is a scalene triangle.

• No, it is an obtuse triangle.

A park is shaped like a right triangle. One side measures 30 meters, and the other side measures 40 meters. What is the length of the hypotenuse?

• 45 meters

• 60 meters

• 50 meters

• 55 meters

Two friends are standing at points A and B, which are 5 meters apart. If friend A walks 12 meters north and friend B walks 9 meters east, how far apart are they now?

• 20 meters

• 15.81 meters

• 10 meters

• 7.5 meters

A rectangular garden has a length of 10 meters and a width of 24 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?

• 15 meters

• 26 meters

• 20 meters

• 30 meters

A right triangle has one leg measuring 9 cm and the hypotenuse measuring 15 cm. What is the length of the other leg?

• 8 cm

• 10 cm

• 14 cm

• 12 cm

A drone flies from point A (2, 3) to point B (8, 7). Using the distance formula, how far did the drone fly?

• 5√2

• 3√10

• 2√13

• 4√5

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

• 15 inches

• 30 inches

• 20 inches

• 25 inches

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

• 45√2 feet

• 90√2 feet

A right triangle has a base of 12 cm and a height of 16 cm. Calculate the length of the hypotenuse.

• 18 cm

• 15 cm

• 22 cm

• 20 cm

A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?

• 10 cm

• 12 cm

• 8 cm

• 6 cm