Pythagorean Theorem Discovery

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.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

_{^{Find the missing side}}

• 37

• 17.66

• 6

• 312

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

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.

Find the missing length? *solve for x

• 50 yards

• 60 yards

• 70 yards

• 80 yards

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

*Hint - You could plug the values into the Pythagorean Theorem.

• yes

• no