Application of Pythagorean Theorem

(In inches)

(a)  

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CCSS.8.G.B.7

(in inches)

(a)  

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CCSS.8.G.B.7

(in feet)

(a)  

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CCSS.8.G.B.8

Betsy has raised a flag on a 91-foot-high flag pole. The flag pole is supported by 5 wires, each of which is attached to the flag pole at a place that is 19 feet from the top of the pole and attached to the ground at a place that is 54 feet from the base of the pole. Find the total length of all 5 wires.

• 450 feet

• 225 feet

• 338 feet

• 90 feet

Tags

CCSS.8.G.B.8

Study the figure below, which illustrates a dilemma facing the Gainesville City Council. They are going to build a footbridge connecting City Hall to the Municipal Outhouse, because a number of citizens have perished while crossing Big Swamp. The distance from the Court House directly south to City Hall is 1440 feet, and the distance from the Court House directly west to the Municipal Outhouse is 1512 feet. Find the cost of the footbridge, assuming that such a structure costs $21 per foot.

• $43,848

• $54,810

• $61,992

• $65,772

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CCSS.8.G.B.8

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

• 21.2

• 17

• 450

• 288

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CCSS.8.G.B.8

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in 

• 14.3 in

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CCSS.8.G.B.8

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Tags

CCSS.8.G.B.8

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

• 180 feet

• 90 feet

• 13.4 feet

• 127.3 feet

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CCSS.8.G.B.8

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

Tags

CCSS.8.G.B.8