Pythagorean Theorem on Graph

a² + b² = c^{2
a = 9 b = 40}

• c = 41

• c = 65

• c = 25

• c = 5

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.

Which set of sides would make a right triangle?

• 4, 5, 6

• 8, 10, 12

• 5, 12, 13

• 5, 10, 12

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

What is the diagonal length of the iPad?

• 9.2 in

• 11 in

• 13 in

• 9.6 in

Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem.  Round to the nearest tenth.  You will need to do your drawing on graph paper.
Points:
(-7,3) and (-2,9)

• 9 units

• 8.6 units

• 4.9 units

• 4 units

Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem.  Round to the nearest tenth.  You will need to do your drawing on graph paper.
Points:
(-4,2) and (4,-6)

• 11 units

• 0 units

• 11.3 units

Square ABCD is shown.  What is the length of diagonal AC?  Round to the nearest tenth, if necessary.

• 4.7 centimeters

• 9.4 centimeters

• 11 centimeters

• 15.6 centimeters

What is the length of the unknown leg to at the nearest tenth?

• 2.4

• 5.1

• 12.5

• 18.9

Determine the unknown side for the triangle shown.  Round to the nearest tenth if needed.

• 23.4

• 34

• 1156

• 23.3