Pythagorean Theorem

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Pythagorean Theorem

Complete the following questions to the best of your ability.

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1. The manager of a car dealership wants to attach a rope with flags to the top of a pole and a stake in the ground, as shown in the diagram below. Based on the diagram, what is the distance, in feet, from the top of the pole to the bottom of the stake? Round your answer to the nearest tenth, if necessary.

A. 45.5 ft

B. 32.5 ft

C. 17.2 ft

D. 6.7 ft

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2. Determine the distance between points A (2,3) and B (-2,6). Round your answer to the nearest hundredth, if necessary.

A. 9

B. 3

C. 7

D. 5

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3. Select the set of squares that DOES NOT form a right triangle when joined at the vertices.

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4. Find the length of the segment connecting B and H in the following diagram. Round to the nearest hundredth, if necessary.

A. 7.28 cm

B. 3.61 cm

C. 8.12 cm

D. 7.87 cm

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5. The diagram below shows three squares that are joined at the vertices to form a right triangle. Which statement is true?

A. The sum of the areas of Square N and Square L is equal to the area of Square K.

B. The sum of the areas of Square N and Square L is greater than the area of Square K.

C. The sum of the areas of Square N and Square K is equal to the area of Square L.

D. The sum of the areas of Square N and Square K is less than the area of Square L.

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6. Tyrell says that side lengths 8, 15, and 17 form a right triangle. Is he correct? Why or why not?

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