Application in Real Life Using Pythagorean Theorem

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

Tags

CCSS.8.G.B.8

The distance from the ground to where the ladder is touching the wall is 7 feet. The distance from the wall to the base of the ladder is 4 feet. What is the length of the ladder?

• √65

• 9

• √49

• 65

Tags

CCSS.8.G.B.7

The dimensions of a flatscreen television are 15 in and 20 in. What is the length of the diagonal across the TV?

• √144in

• √125 in

• 25in

• 35in

Tags

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

Tags

CCSS.8.G.B.8

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

Tags

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

Tags

CCSS.8.G.B.8

What is the distance from the tee box to the hole?

• 275 yd

• 75625 yd

• 385yd

• √385 yd

Tags

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

Tags

CCSS.8.G.B.8

Which side lengths would form a right triangle?

• 3, 5, 6

• 2, 8, 10

• 3, 4, 5

• 7, 12, 15

Tags

CCSS.8.G.B.8