#3-3 Applying Pythagorean Theorem

Brianna is planting a sapling. The garden center recommended she stabilize the sapling with guide wires for the first year.

• 6.6 feet

• 7.8 feet

• 12.2 feet

• 15.6 feet

A 14-foot ladder is set up 4 feet from the base of a building.  How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.

• 13.4 feet
• 14.6 feet
• 16.5 feet
• 18.0 feet

What is the length of the diagonal of the rectangular solid shown?

• 5 cm
• 13 cm
• 6cm
• 12.3

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25

Tags

CCSS.HSG.SRT.C.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

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²
• 105 cm²
• 135 cm²
• 30 cm²

Tags

CCSS.8.G.B.8

The slide at the playground has a height of 6 feet. The base (bottom) of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

• 21.2

• 17

• 450

• 288

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.MG.A.1

If the area of square b is 144 ft² and the length of side a is 5 ft, what is the area of square c?

• 169 ft²
• 13 ft²
• 12.2 ft²
• 10.9 ft²

Tags

CCSS.8.G.B.8

The diagram shows a rectangular field.

What is the length of the diagonal of the field?

• 120 ft.

• 200 ft.

• 394 ft.

• 520 ft.