Pythagoras Proof

If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle

• Converse of the Pythagorean Theorem (Proof)

• Square Root

• Pythagorean Theorem

• Hypotenuse

a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides

• Pythagorean Triple

• Hypotenuse

• Pythagorean Theorem

• Converse of the Pythagorean Theorem (Proof)

Which equation is modeled by the picture shown?

• 3²+5²=4²

• 3²+4²=5²

• 5²+4²=3²

• 9²+16²=25²

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

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

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

• yes

• no

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 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

Determine the missing number in this Pythagorean Triad: ( x, 15 , 17)