Proof of Pythagorean Theorem

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Tags

CCSS.8.G.B.8

Which equation is modeled by the picture shown?

• 3²+5²=4²

• 3²+4²=5²

• 5²+4²=3²

• 9²+16²=25²

Tags

CCSS.8.G.B.8

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

Tags

CCSS.8.G.B.8

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

• 12 in²

• 144 in²

• 194 in²

• 13.9 in²

Tags

CCSS.8.G.B.8

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?

• 9ft

• 11ft

• 6ft

• 14ft

Tags

CCSS.8.G.B.8

What is the relation between the three sides of the right-angle triangle in the figure?

• a²+b²=c²

• a+b=c

• a²-b²=c²

Tags

CCSS.8.G.B.8

Find the value of x.

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Tags

CCSS.8.G.B.7

What is the length of the hypotenuse?

• 33.5 cm

• 45 cm

• 6.7 cm

• 15 cm

Tags

CCSS.8.G.B.8

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