REVIEW LEG HYPOTENUSE LEG.

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Presentation transcript:

REVIEW LEG HYPOTENUSE LEG

Pythagorean Theorem c a b The square of the hypotenuse is equal to the sum of the square of the other two sides. ONLY FOR RIGHT TRIANGLES

pythagorean theorem

Other Interesting Facts?? Pythagoras (569-500 B.C.) was born on the island of Samos in Greece.

Picture of the statue “Pythagoras in the island of Samos” Other Interesting Facts??

Other Interesting Facts?? Leonardo da Vinci discovered his own proof of the Pythagorean Theorem.

Other Interesting Facts?? The twentieth president of the United States, James A. Garfield, discovered a proof to the Pythagorean Theorem five years before he become President. He discovered the proof in 1876 during a mathematics discussion with some of the members of Congress. Other Interesting Facts??

Interesting Facts?? Babylonians had clay tablets of rules for creating Pythagorean triples 1200 years before Pythagoras was around.

Chou-pei Suan-king Chinese Book from 1200-600 B.C. Many years after Chinese in 560 B.C., Pythagoras made a formal proof…the Pythagorean Theorem that's over 1,445 years ago!

http://www.usna.edu/MathDept/mdm/pyth.html

m LEG HYP LEG 14 m

Round to the nearest tenth 3m 4 m

3, 4, 5 is a PYTHAGOREAN TRIPLE Ex: 4 Solve for x x 4 3 3, 4, 5 is a PYTHAGOREAN TRIPLE

Ex: 4 Solve for x 25 x 7 PYTHAGOREAN TRIPLE

Ex: 4 Solve for x x 3 5 NOT A PYTHAGOREAN TRIPLE

Ex: 5 Solve for x 17 x 8 PYTHAGOREAN TRIPLE

Ex: 4 Solve for x 10 5 x NOT A PYTHAGOREAN TRIPLE

8, 6, 10 is a PYTHAGOREAN TRIPLE Ex: 5 Solve for x 10 8 x 8, 6, 10 is a PYTHAGOREAN TRIPLE

Ex: 4 Solve for x 5 4 x PYTHAGOREAN TRIPLE