THE PYTHAGOREAN THEOREM

THE PYTHAGOREANTHEOREM.

HOW WILL YOU SOLVE YOUR PROBLEMS IN LIFE?

GET YOUR GRAPHIC ORGANIZERS Pythagorean TheoremWhat is it and how does it work?a2 + b2 = c2

Who is this Man?

Pythagorean TheoremFind the legs and hypotenuseSquare the legs (this is a and b)Add them together Square root themThis is the length of the hypotenuse (this is c)

legleghypotenuseRight angleThe Right Triangle1. Square both legs3 ft4 ft4ft3 ft1345678912 2345

6

789101112131415162. Count the total squares3 ft4 ft4ft3 ft1345678912 2345

6

789101112131415169 + 16 = 253 ft4 ft4ft3 ft1345678912 2345

6

789101112131415169 + 16 = 253. Put that number of squares on the hypotenuse246810121416182022241357911131517192123253 ft4 ft4ft3 ft1345678912 2345

6

789101112131415169 + 16 = 254. Count the number of squares that touch the hypotenuse.24681012141618202224135791113151719212325# = 53 ft4 ft4ft3 ft1345678912 2345

6

789101112131415169 + 16 = 255.That number is the length of the hypotenuse.24681012141618202224135791113151719212325# = 5Length = 5SummaryFind the legs and hypotenuse.Square the legs (this is a and b)Add them togetherSquare root themThis is the length of the hypotenuse (this is c)

The Pythagorean Theorem and BaseballYou've just picked up a ground ball at first base, and you see the other team's player running towards third base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out?

Real World Applications

StartSquare itRoot itResult

Square and Square RootsSimplify each root below and identify as a positive root or a negative root.

Find the HypotenuseTo find the hypotenuse, solve for c.

1)2) a = 3, b = 4, find c.

Example: Find a legYou will not always solve for the hypotenuse (c). Sometimes you will have to find a leg (a or b).Example:

Practice: Pythagorean Theorem

FACTS ON THE PYTHAGOREAN THEOREM Euclid proved the Pythagorean TheoremDescartes writes La GeometriePlato was influenced by Pythagoras. Plato InfluencedAristotle. The Babylonians and Egyptians were the ancient cultures to discover the right triangle problem solving technique.

Are you ready to rumble!!!Resourceshttp://www.gpb.org/educationMusic by Coldplay Clocks