Pythagorean Theorem Proofs

The given information includes the fact that a triangle is a RIGHT TRIANGLE. Which reason below might be used as a reason in the proof?

• Pythagorean Theorem

• Def. of Isosceles Triangle

• Segment Addition Postulate

• Def. of Midpoint

How can the Pythagorean theorem be proven?

• The Pythagorean theorem can be proven using geometric or algebraic proofs.

• The Pythagorean theorem can be proven using guesswork.

• The Pythagorean theorem can be proven using calculus.

• The Pythagorean theorem can be proven using trigonometric functions.

Tags

CCSS.MATH.CONTENT.8.G.B.8

CCSS.MATH.CONTENT.8.G.B.7

CCSS.MATH.CONTENT.8.G.B.6

If the lengths of two sides of a right triangle are 5 and 12, what is the length of the third side?

• 15

• 10

• 7

• 13

Tags

CCSS.MATH.CONTENT.8.G.B.7

CCSS.MATH.CONTENT.8.G.B.6

CCSS.MATH.CONTENT.8.G.B.8

Which United States president discovered a proof of the Pythagorean Theorem?

• Abraham Lincoln

• James Garfield

• George Washington

• Woodrow Wilson

The Chinese had an "existence proof" of the Pythagorean Theorem for a 3-4-5 triangle.

• True

• False

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

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

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12