Pythagorean Theorem and Distance Formula

Domenica plans to divide a rectangular board into two congruent right triangles for use in an art project. The board is shown below. What is the length of the diagonal cut she must make to divide the board?

• 10
• 20
• 28
• 30

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Tags

CCSS.8.G.B.7

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Tags

CCSS.8.G.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

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

Tags

CCSS.8.G.B.8

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in
• 12.4 in
• 13.6 in 
• 14.3 in

Tags

CCSS.8.G.B.8

What is the radius of the circle that circumscribes

a square with a perimeter of 20cm?

Explain.

Note: draw (a figure) around another, touching it at points but not cutting it.

The square is inside the circle.

Tags

CCSS.HSG.SRT.C.8

A baseball infield is a square, each side measuring 90 feet. To the nearest foot, what is the distance from home plate to second base?

Tags

CCSS.8.G.B.8

What is the perimeter of the trapezoid?

Round your answer to the nearest tenth.

Tags

CCSS.3.MD.D.8

Find the distance, round your answer to the nearest tenth.

 $\left(-3.-1\right),\left(2,-2\right)$ 

• 3

• 2.6

• 5.1

• 2.2

• 8.4

Tags

CCSS.HSG.GPE.B.7