Pythagorean Theorem and Space Figures

Select all that are true about the proof represented by this picture (click image if needed to see it full size).

• The figures overall have the same area.

• The shaded triangles changed size.

• The non-shaded space represents the same area.

Why is the Pythagorean Theorem important?

• It isn't

• Because my teacher said so

• It is a basis for construction and triangulating GPS coordinates, among other things

• Because I like triangles

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.

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Solve for the variable x.

• x = 7.2

• x = 9

• x = 12

• x = 9.6

Find the value of x.

Mathematical Equivalence

ON

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

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

• 64

• 12

• 9

• 100

Solve for the length indicated.

• 9

• 10

• 11

• 12