Pythagorean

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25

• 32.5 ft

• 40 ft.

• 31 ft.

• 33.5 ft.

• 51 cm

• 40.8 cm

• 27 cm

• 37.1 cm

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 value of x.

Mathematical Equivalence

ON

Solve for the variable x.

• x = 7.2

• x = 9

• x = 12

• x = 9.6

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Solve for the length indicated.

• 1

• 2

• 3

• 4