PYTHAGOREAN THEOREM

PYTHAGOREAN THEOREM http://sid.at/hs-strassburg/images/pythagoras.jpg Section 7-2 spi.3.2.N Jim Smith JCHS

If You Have A Right Triangle, Then a² + b² = c² c a b

Find The Value Of X 5 x 6 7 x 2 3 8 x

Find The Value Of X x² + 3² = 5² x² + 9 = 25 x² = 16 x = 4 5 x 3 This is our 1st special right Triangle 3,4,5

x 7 8 Find The Value Of X 7² + 8² = x² 49 + 64 = x² 113 = x² 113 = x 10.6 = x

Find The Value Of X 2² + x² = 6² 4 + x² = 36 x² = 32 x = 32 = 4 2 x = 5.7 6 2 x

The Converse Of The Pythagorean Theorem If a² + b² = c², Then You Have A Right Triangle

Do These Lengths Form Right Triangles ? 5, 6, 10 6, 8, 10 6² + 8² ?? 10² 36 + 64 100 100 = 100 YES 5² + 6² ?? 10² 25 + 36 100 61 ≠ 100 NO

What Kind Of Triangle ? a² + b² ?? c² If the c²= a² + b² , then right If the c²is greater, then obtuse If the c²is smaller, then acute

4,7,9 4² + 7² ?? 9² 16 + 49 ?? 81 65 81 OBTUSE greater

5,5,7 5² + 5² ?? 7² 25 +25 ?? 49 50 ?? 49 ACUTE SMALLER

A Pythagorean Triple Is Any 3 Integers That Form A Right Triangle 5, 12, 13 Family 10,24,26 25,60,65 35,84,91 3, 4, 5 Family 6,8,10 30,40,50 15,20,25

PYTHAGOREAN THEOREM