Ch 11 Review: Pythagorean Theorem

Use the Pythagorean Theorem to determine whether or not the side lengths of 15, 12, and 9 would form a right triangle.

[Show work]

• Yes, those side lengths would make a right triangle.

• No, those side lengths would NOT make a right triangle.

• Maybe they would, maybe they wouldn't.

• There is not enough information to tell for sure.

Tags

CCSS.8.G.B.8

A triangle has side lengths 6 ft, 6.7 ft and 3 ft.

Could these sides be the lengths of a right triangle?

Show work using the Pythagorean Theorem to prove your answer.

• Yes

• No

• Maybe

• Not enough information to tell for sure.

Tags

CCSS.8.G.B.8

Use the right triangle pictured to find the length of the missing side. 

Round to the nearest tenth, if necessary.

[show work]

• 43.6 cm

• 11.7 cm

• 52 cm

• 68 cm

Tags

CCSS.8.G.B.7

What is the length of the missing side?

Round to the nearest hundredth, if necessary.

[show work]

• 2.83 units

• 8 units

• 11.66 units

• 12 units

Tags

CCSS.8.G.B.7

Calculate the length of the missing side.

Round to the nearest tenth, if necessary.

[show work]

• 7.6 units

• 6.3 units

• 20 units

• 2.8 units

Tags

CCSS.8.G.B.7

The legs of a right triangle have lengths 10 cm and 24 cm.

What is the length of the hypotenuse?

Round to the nearest hundredth, if necessary.

[show work]

• 21.82 cm

• 24.41 cm

• 26 cm

• 34 cm

Tags

CCSS.8.G.B.7

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

[show work]

• 9 ft

• 11 ft

• 6 ft

• 14 ft

Tags

CCSS.8.G.B.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How long does the ladder need to be?

Round your answer to the nearest foot, if necessary.

[show work]

• 15 feet

• 27 feet

• 23 feet

• 28 feet

Tags

CCSS.8.G.B.8

Find the length of a rectangle that has a width of 15 inches,

and has a diagonal of 25 inches. Round to the nearest tenth, if necessary.

[show work]

• 20 inches

• 29.2 inches

• 3.2 inches

• 625 inches

Tags

CCSS.8.G.B.7

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the opposite corner diagonally across. What is the length of this diagonal distance?

[show work]

• 210 meters

• 127 meters

• 150 meters

• 79 meters

Tags

CCSS.8.G.B.8