Pythagorean Theorem Application Problem

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

Which side lengths would form a right triangle?

• 3, 5, 6

• 2, 8, 10

• 3, 4, 5

• 7, 12, 15

Do the following sides make a triangle. If so what type of triangle do they make?

Sides: 5. 13, 12

• Right Triangle

• Acute Triangle

• Obtuse Triangle

• Not a Triangle

Q1. What is the length of the object?

• 9.2 in

• 11 in

• 13 in

• 9.6 in

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

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 6.2

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Create your own Pythagorean Theorem word problem! Be sure to include side lengths, right triangle and names of the sides.

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What is the relationship between the sides in the Pythagorean Theorem shown? Hint: Think about when the hypotenuse is missing!

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c