Pythagorean Theorem from Two Points

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.

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

Find the distance between these 2 points.

• 5.8

• 6.3

• 8.1

• 40

Tags

CCSS.HSG.GPE.B.7

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

Tags

CCSS.8.G.B.8

What is the hypotenuse of a right triangle if the two legs measure 4 in and 5 in?

• √⁴¹

• 3

• 2√3

• 2√41

Tags

CCSS.8.G.B.7

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

Tags

CCSS.HSG.GPE.B.7

Find the distance between these two points.

• 13

• 7.9

• 9.2

• 3.6

Tags

CCSS.HSG.GPE.B.7

22.5 feet

23 feet

25 feet

27.3 feet

• 22.5 feet

• 23 feet

• 25 feet

• 27.3 feet

Tags

CCSS.8.G.B.8

Solve for x.

• 38.9

• 40.2

• 45.6

• 54

Tags

CCSS.8.G.B.8

Find the distance between the 2 points. Round to the nearest hundredth.

• 3 

• 2.23

• 2.24

• 2.2

Tags

CCSS.HSG.GPE.B.7