Pythagorean Theorem Areas

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

What is the formula for finding the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

Find the value of x.

• 7

• 8

• 9

• 10

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

What is the hypotenuse of a right triangle if the two legs measure 4 in and 5 in?

• √⁴¹

• 3

• 2√3

• 2√41

To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?

• obtuse

• scalene

• isosceles

• right

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.5 feet

• 13 feet

• 11.6 feet

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

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²

• 105 cm²

• 135 cm²

• 30 cm²