Pythagorean Models

How far does the catcher throw the ball from home plate to 2nd base? 

• 63.6 ft

• 16,129 ft

• 13.4 ft

• 127.3 ft

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

If the area of square c is 1,369 cm² and the area of square b is 1,225 cm², what is the length of one side of square a?

• 12 cm

• 144 cm

• 50.9 cm

• 8.5 cm

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

If a = 5 cm and b = 12 cm, what is the area of the c squared?

• 13 cm²

• 169 cm²

• 119 cm²

• 10.9 cm²

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

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

Which of the models below does NOT represent a right triangle?

• 8ft, 15ft, 17ft

• 9ft, 12ft, 15ft

• 5ft, 12ft, 13ft

• 6ft, 8ft, 12ft

What letter represents the hypotenuse?

• a

• b

• a and b

• c

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the larger square. Do these three squares support this statement?

• yes, because the area of the smaller square and the area of the larger square is equal to the area of the medium square.

• yes, because the sum of the area of smaller square and the area of the medium square is equal to the area of the larger square.

• No, because the difference of the area of the medium square and the area of the larger square is equal to the area of the smaller square.

• No, because the sum of the area of smaller square and the area of the medium square does not equal to the area of the larger square.