Pythagorean Theorem Do Measurement Create a Right Triangle?

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake? (round to the nearest tenths place)

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8.7C

A right triangle and two of its side lengths are shown in the diagram. Which measurement is closest to the value of x in centimeters?

• 37.1 cm

• 40.8 cm

• 27 cm

• 51 cm

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8.7C

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

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

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

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

• The sum of the areas of Square N and k is less than the area of Square L.

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8.6C

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

• 9 ft

• 17 ft

• 12.4 ft

• 13.6 ft

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8.7C

The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?

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8.7C

Natasha walked from the library to the grocery store and then to her house. The diagram shows the top view of the locations of these three places and their distances from each other. Which measurement is closest to the shortest distance in miles from Natasha's house to the library?

• 2.6 mi

• 1.9 mi

• 1.4 mi

• 2.3 mi

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8.7C

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?

• 6.24 inches

• 19.5 inches

• 6.98 inches

• 13.9 inches

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8.7C

The diagram below shows the side view of a ramp used to help load and unload a moving van. Which measurement is closest to the length of the ramp in feet?

• 8.5 ft

• 10.5 ft

• 9.5 ft

• 13.5 ft

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8.7C

Points E (1, 8) and T (7, 1) are shown on the coordinate grid. Which measurement is closest to the length of ET in units

• 4 units

• 13 units

• 85 units

• 9 units

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8.7D

The diagram shows a right triangle and the lengths of two of its sides in inches.

Which measurement is closest to the value of d in inches?

• 6.3 in

• 4.0 in

• 14.3 in

• 19.8 in

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CCSS.8.G.B.7