WEDNESDAY MATH 8 SET #3: Pythagorean Theorem (8th CCSS)

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1. The side view of a ramp that Jessie built for his race cars is shown below. Find r, the length of the ramp to the nearest tenth.

• A. 21 inches
• B. 15.7 inches
• C. 6.5 inches
• D. 17.4 inches

2. Use the diagram below to find the approximate length of diagonal AD.

• F. 18 feet
• G. 11.2 feet
• H. 15 feet
• J. 21.2 feet

3. Titus is building a triangular frame with three pieces of wood that measure 3 inches, 5 inches and 10 inches. Which of the following is true about the frame?

• A. The frame will be a right triangle because 5(2) + 3(2) < 10(2).
• B. The frame will be a right triangle because 5² + 3² < 10².
• C. The frame will not be a right triangle because 5² + 3² ≠ 10².
• D. The frame will not be a right triangle because 5(2) + 3(2) ≠ 10(2).

5. The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.

• A. 32 feet
• B. 26 feet
• C. 35 feet
• D. 28 feet

7. The model below is used to show the relationship between the side lengths of a right triangle. Which describes the square that could be connected to side b of the triangle to correctly complete the model?

• A. A square with side lengths of 400 feet.

• B. A square with side lengths of 100 feet.

• C. A square with side lengths of 50 feet.

• D. A square with side lengths of 20 feet.

8. Neil wants to join three pieces of metal to form a right triangle. Which of the following lengths could he use?

• F. 4, 4 and 8 feet
• G. 7.5, 10 and 12.5 feet
• H. 9, 11 and 23 feet
• J. 6, 12.5 and 96 feet

10. Greta takes a cab ride along Avenue F and Avenue G. Jack takes a cab ride along Avenue H. How many miles shorter is Jack’s cab ride than Greta’s?