Pythagorean Theorem Finding Distance

9.2 in

11 in

13 in

9.6 in

• 9.2 in

• 11 in

• 13 in

• 9.6 in

Solve for the walkway length

• 30

• 40

• 58

• 35

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.

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

• obtuse

• scalene

• isosceles

• right

Two joggers run 8 miles north and then 5 miles west.  What is the shortest distance back to their starting point to the nearest tenth of a mile?

• 13

• 9.4

• 6.2

• 9

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

Find the missing side

• 9

• 41

• 6.4

• 3

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 42 miles

• 37 miles

• 40 miles

What is the length of x?

• 5

• 7

• 8

• 25