Pythagorean Theorem Study Guide

A soccer field is 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

• 210

• 79.4

• 120

• 150

Tags

CCSS.8.G.B.8

A 20-foot long wire is used to support a television antenna. The wire is connected to the antenna 15 feet above the ground. How far away from the base of the tower will the end of the wire be located?

• 25

• 13.2

• 35

• 5

Tags

CCSS.8.G.B.8

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Tags

CCSS.8.G.B.8

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Tags

CCSS.8.G.B.8

Which equation is modeled by the picture shown?

• 3²+5²=4²

• 3²+4²=5²

• 5²+4²=3²

• 9²+16²=25²

Tags

CCSS.8.G.B.8

_{^{Find the missing side}}

• 36

• 76.8

• 12

• 40

Tags

CCSS.8.G.B.7

The Pythagorean Theorem is _________

• a + b = c

• a² + b² = c²

• a² + b² + c²

• A = LW

Tags

CCSS.8.G.B.8

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

Tags

CCSS.8.G.B.8

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

• 9 feet

• 19.2 feet

• 81 feet

• 369 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

Tags

CCSS.8.G.B.8