Topic 2 Pythagorean Theorem

A 12-foot ladder is leaning against the side of a building. The top of the ladder reaches 10 feet up the side of the building. Approximately how far is the bottom of the ladder from the base of the building?

• 2 ft

• 15.6 ft

• 6.6 ft

• 1.4 ft

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 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

Do the following sides form a right triangle? a = 2.1, b = 7.2,

c = 7.5

• yes

• no

Do the following side lengths form a right triangle?

5, 6, and 9

• yes

• no

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the side length of the yellow square?

• 12 in

• 144 in

• 194 in

• 13.9 in

If c² is 625 cm² and b is 24 cm, what is the length of a?

• 25.4 cm
• 24.5 cm
• 7 cm
• 26 cm

Tags

CCSS.8.G.B.8

Calculate the length of the diagonal.

• 9.7 units

• 10.7 units

• 11.7 units

• 12.7 units

Determine the distance of the line segment. Round to the nearest tenth.

• 9.4 units

• 11.7 units

• 8.2 units

• 10.3 units