Pythagorean Theorem G.5.1: Prove and use the Pythagorean Theorem. Lauren Smith 9 th Grade Algebra I

The Pythagorean Theorem  ONLY use for right triangles  Helps you find the length of a missing side  Formula: a²+b²=c²  Proof of the Theorem Proof of the Theorem

Real Life Applications  Meeting up with a friend  Fitting objects in a space  Painting a wall  Finding actual length of objects

 Solve using theorem  Formula: a²+b²=c² D.I.Y. B = 4 C = 5

 Solution:  A² + 4²= 5²  A² + 16 = 25  A² = 25 – 16  A = √9 Eureka! A=3

 Make your own  Pass to neighbor  Solve! Group Activity