Pythagorean Theorem on the Grid

The side view of a ramp that Jessie built for his race cars is shown below. Find r, the length of the ramp to the nearest tenth.

• 21 inches

• 15.7 inches

• 6.5 inches

• 17.4 inches

Tags

CCSS.8.G.B.7

The model below is used to show the relationship between the side lengths of a right tringle. Which describes the square that could be connected to side b of the triangle to correctly complete the model?

• A square with side lengths of 400 feet.

• A square with side lengths of 100 feet.

• A square with side lengths of 50 feet.

• A square with side lengths of 20 feet.

Tags

CCSS.8.G.B.8

Tags

CCSS.8.G.B.7

Tags

CCSS.8.G.B.8

Joel has a 41 inch board leaning up against a wall. The board hits the wall 40 inches above the ground. How far from the wall is the base of the board?

Tags

CCSS.8.G.B.8

Could the three squares below be positioned so that they model the Pythagorean Theorem by meeting at a right triangle?

• True

• False

Tags

CCSS.8.G.B.8

Kelsey's school can be represented by Point A (9,9). Point A can be translated 6 units left and 5 units down to create A', the location of Kelsey's house. What is the diagonal distance between Point A and Point A' on the grid?

• 3.3

• 12.7

• 5

• 7.8

Tags

CCSS.HSG.GPE.B.7

Neil wants to join three pieces of metal to form a right triangle. Which of the following lengths could he use?

• 4,4 and 8 feet

• 7.5,10 and 12.5 feet

• 9,11 and 23 feet

• 6,12.5 and 96 feet

Tags

CCSS.8.G.B.8

Greta takes a cab ride along Avenue F and Avenue G. Jack takes a cab ride along Avenue H. How many miles shorter is Jack's cab ride than Greta's?

Tags

CCSS.8.G.B.8

Find the missing side length of the triangle

Tags

CCSS.8.G.B.7