Pythagorean Model

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 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

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

What is the area of square b in the figure shown?

• 24 in²

• 96.6 in²

• 74 in²

• 576 in²

What is the length of the hypotenuse?

• 169 cm

• 37 cm

• 13 cm

• 27 cm

Michael is using a ladder to get to the roof of his house. He has placed the ladder 6 feet from the base of the house and he knows that is roof is 13 feet off the ground. To the nearest hundredth of a foot how tall is the ladder?

• 14.32 ft

• 205.00 ft

• 12.00 ft

• 18 ft

A slide at the park looks like a right triangle from the side. The length of the slide, s, is 17m, and from the base of the slide to the base of the ladder along the ground, t, is 19m, then what is the length of the ladder, r?

• 25.5 m

• 1.4 m

• 2 m

• 8.5 m

Which figure represents the area of the square X?

• 
• 
• 
• 

What is the length of the missing side?

• 36 cm²

• 12.8 cm

• 164 cm

• 6 cm

Rectangle MATH is formed by placing two right triangles together as shown below. What is the length of side MA?

• 27.8 inches

• 16 inches

• 24 inches

• 4 inches