Applications of Pythagorean Theorem

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

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

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

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

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

_{^{Find the missing side}}

• 29.2

• 20

• 400

• 10

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet

• 10 feet

• 11.6 feet

• 10.6 feet

A sailing ship sails 46 km North and then 74 km East. How far is the ship from its starting point to the nearest km?

• 67 km

• 58 km

• 85 km

• 87 km

Make a right triangle where the segment AB is the hypotenuse. Then find the length of AB to the nearest unit.

• 6 units

• 5 units

• 4 units

• 3 units