Pythagorean Theorem Proof

Which equation is modeled by the picture shown?

• 3²+5²=4²

• 3²+4²=5²

• 5²+4²=3²

• 9²+16²=25²

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

A model of the Pythagorean Theorem is shown. Which statement is true?

• If you add the areas of regions R and P they will add to the area of region Q

• If you add areas of regions R and Q they will add to the area of region P

• If you subtract the areas of regions Q and R they will make the area of region P

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

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

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

Find the value of x.

Mathematical Equivalence

ON

What is the length of the hypotenuse?

• 33.5 cm

• 45 cm

• 6.7 cm

• 15 cm

Is this triangle a right triangle? (Picture not drawn to scale)

• yes

• no