Pythagorean Theorem Unit Review

Which of the following is not a true statement about the sides of a right triangle?

• The hypotenuse is the longest side.

• The legs are always congruent.

• Side “c” is always longer than side “a.”

• The hypotenuse is opposite the 90° angle.

McCale needs to know if the triangle shown is a right triangle. Which equation could he use to help?

• √49 + √25 = √81

• 25 + 49 = 81

• 49² – 25² = 81²

• 49² + 25² = 81²

Find x, the missing side length in the right triangle.

• x = 9
• x = 11

• x = 10

• x = 8

Which of the following could be the areas of the three squares shown?

• 45 ft², 55 ft², 65 ft²

• 10 ft², 15 ft², 20 ft²

• 20 ft², 20 ft², 400 ft²

• 22 ft², 33 ft², 55 ft²

Alaina's coffee table has a square top with an area of 16 square feet. What is the diagonal length of the top of the coffee table?

• 5.7 ft

• 4 ft

• 6.5 ft

• 5.3 ft

Find the length of JK.

• 7.6 units

• 9.2 units

• 9.8 units

• 8.2 units

An 11m ladder is leaning against a building. The base of the ladder is 4 m from the building. How high does the ladder reach up on the wall?

• 10.2 m

• 11.7 m

• 9.8 m

• 10.5 m

Find the perimeter of the trapezoid.

• 55.7 units

• 56.9 units

• 57.3 units

• 55.8 units

The three squares below join to form a right triangle. The area and the perimeter for two of the squares are shown. Find x, the side length of the largest square.

• 8 inches

• 9 inches

• 12 inches

• 10 inches

Which of the following could NOT be the side lengths of a right triangle?

• 45, 28 and 53

• 13, 12 and 15

• 24, 10 and 26

• 36, 27 and 45