Pythagorean Triples and Models

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

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

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.

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

What is the length of the hypotenuse?

• 33.5 cm

• 45 cm

• 6.7 cm

• 15 cm

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

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

• Yes

• No

Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75

• Yes

• No

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

• Yes

• No

Is 10, 24, and 13 a Pythagorean triple?

• yes

• no

• cannot tell