Right Triangle Challenges: Identify & Apply the Pythagorean Theorem

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the top reaches a height of 8 feet. Is the ladder the longest side of a right triangle?

• Yes, the ladder is the longest side of a right triangle.

• The ladder is the shortest side of the triangle.

• No, the ladder is not part of a right triangle.

• The ladder is shorter than the wall.

A triangular park has sides measuring 5 meters, 12 meters, and 13 meters. Can you determine if this park is a right triangle?

• Yes, the park is a right triangle.

• The park is an equilateral triangle.

• The park has no right angles.

• No, the park is not a right triangle.

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

• 15 cm

• 18 cm

• 13 cm

• 10 cm

A rectangular garden has a length of 15 feet and a width of 20 feet. Is the diagonal of the garden a hypotenuse of a right triangle?

• No, the diagonal is not a hypotenuse of any triangle.

• The diagonal is a side of the rectangle, not a hypotenuse.

• The diagonal cannot be calculated in a right triangle.

• Yes, the diagonal is a hypotenuse of a right triangle.

A right triangle has legs measuring 7 inches and 24 inches. Calculate the length of the hypotenuse using the Pythagorean theorem.

• 20 inches

• 26 inches

• 25 inches

• 30 inches

A 10-foot tall tree casts a shadow of 6 feet. Is the tree and its shadow forming a right triangle?

• No, the shadow is too short for a triangle.

• Yes, the tree and its shadow are forming a right triangle.

• Yes, but only if the sun is directly overhead.

• No, the tree and shadow are parallel.

A right triangle has a hypotenuse of 25 cm and one leg of 20 cm. What is the length of the other leg?

• 20 cm

• 30 cm

• 15 cm

• 10 cm

A ramp is 4 feet high and 3 feet long. Is this ramp a right triangle?

• The ramp is a square triangle.

• Yes, the ramp is a right triangle.

• No, the ramp is not a right triangle.

• The ramp is a triangle but not a right triangle.

A right triangle has a hypotenuse of 13 m and one leg of 5 m. Find the length of the other leg using the Pythagorean theorem.

• 8 m

• 12 m

• 10 m

• 15 m

A right triangle has legs measuring 8 cm and 15 cm. What is the length of the hypotenuse, and does it confirm the triangle is a right triangle?

• 16 cm

• 18 cm

• 20 cm

• 17 cm