Pythagorean Theorem, Pythagorean Inequalities, and Pythagorean Area

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

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

• 6

• 6.7

• 3

• 15.7

• None of the above.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles

• 89 miles

• 45.4 miles

• Not enough information to answer.

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.

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

What is the formula for finding the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c