Right Triangle Challenges: Identify & Calculate Missing Sides

A ladder is leaning against a wall. The base of the ladder is 4 feet away from the wall, and the ladder reaches a height of 3 feet. Is the ladder forming a right triangle? If so, calculate the length of the ladder.

• 4 feet

• 6 feet

• 5 feet

• 7 feet

A rectangular garden has a length of 6 meters and a width of 8 meters. What is the length of the diagonal that divides the garden into two right triangles?

• 8 meters

• 12 meters

• 6 meters

• 10 meters

A right triangle has one leg measuring 5 cm and the other leg measuring 12 cm. Calculate the length of the hypotenuse.

• 10 cm

• 14 cm

• 15 cm

• 13 cm

A 10-foot tall tree casts a shadow that is 6 feet long. Is the tree and its shadow forming a right triangle? If so, find the length of the line from the top of the tree to the end of the shadow.

• 9 feet

• 11.66 feet

• 12 feet

• 10 feet

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

• 10 inches

• 6 inches

• 12 inches

• 8 inches

A ramp is built to help wheelchair access. If the ramp is 9 feet long and rises 4 feet high, what is the horizontal distance from the base of the ramp to the wall?

• 6.5 feet

• 8.06 feet

• 7.2 feet

• 10 feet

A triangular park has one side measuring 7 meters and another side measuring 24 meters. If the park is a right triangle, find the length of the third side.

• 22 meters

• 25 meters

• 20 meters

• 30 meters

A right triangle has a hypotenuse of 15 cm and one leg measuring 9 cm. Calculate the length of the other leg.

• 10 cm

• 8 cm

• 12 cm

• 14 cm

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

• 90√2 feet

• 45√2 feet

• 180 feet

• 90 feet

A right triangle has legs measuring 8 inches and 15 inches. Calculate the length of the hypotenuse and explain how you identified the right triangle.

• 17 inches

• 16 inches

• 18 inches

• 20 inches