unit 9 check in - pythagorean theorem

1. A rectangular parking lot has a length of 84 feet and a width of 56 feet. Which of the following could be used to find the diagonal distance across the parking lot?

• A. 84² – 56² = c²

• B. (84 + 56)² = c²

• C. 84² + b² = 56²

• D. 84² + 56² = c²

Tags

CCSS.8.G.B.8

2. Find the missing side length of the right triangle below. (answer with only the number)

Tags

CCSS.8.G.B.7

3. Find the missing side length of the right triangle below. Round to the nearest tenth. (write only the number)

Tags

CCSS.8.G.B.7

4. Which of the following shows the sides of a right triangle labeled correctly?

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5. Jack has a 35-foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? (answer with the number only)

Tags

CCSS.8.G.B.8

6. Which of the following three sets of lengths could be used to form a right triangle?

• A. 39, 15 and 36

• B. 12, 8 and 4

• C. 13, 17 and 9

• D. None of the above

Tags

CCSS.8.G.B.8

7. Why is it not possible to form a right triangle with the lengths 2, 4 and 7?

• A. Because 4² – 2² ≠ 7²

• B. Because 2 + 4 ≠ 7

• C. Because 2² + 4² ≠ 7²

• D. Because 2² + 7² ≠ 4²

Tags

CCSS.8.G.B.8

8. Find the value of x in the isosceles triangle. (answer with only the number)

Tags

CCSS.HSG.CO.C.9

9. In the figure below, the area of Square 1 is 169 cm² and the perimeter of Square 2 is 48 cm. What is the area of Square 3? (answer with only the number)

Tags

CCSS.HSG.CO.C.11

10. Andrew is using three pieces of scrap wood to build a wall shelf in his bathroom. The shelf will be shaped like a triangle, and the pieces of scrap wood measure 12 inches, 15 inches and 9 inches long. Will the shelf be shaped like a right triangle? Why or why not?

• A. Yes; 9² + 15² = 12²

• B. Yes; 9² + 12² = 15²

• C. No; 9² + 12² ≠ 15²

• D. No; 15² + 12² ≠ 9²

Tags

CCSS.8.G.B.8