Pythagorean Theorem and Area

Which equation is modeled by the picture shown?

• 3²+5²=4²
• 3²+4²=5²
• 5²+4²=3²
• 9²+16²=25²

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 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 c squared is 289 cm² and the length of a is 8 cm, what is the length of b?

• 15 cm
• 9 cm
• 16.8 cm
• 18.8 cm

If the area of c squared is 225 cm² and the length of b is 12 cm, what is the length of a?

• 8 cm
• 19.2 cm
• 9 cm
• 14.6 cm

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 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 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 231 square feet of paint was used to paint the two squares blue, how much paint would be needed to paint the white square purple?

• 15.2 ft²
• 115.5 ft²
• 231 ft²
• 10.7 ft²