The Pythagorean Theorem

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Presentation transcript:

The Pythagorean Theorem By Christiana Purnell

Naming the Theorem The Pythagorean Theorem was named after a Greek Mathematician Pythagoras He was born on the Aegean Island of Samos The Pythagorean Theorem is an important part of many math subjects (Algebra & Geometry)

What the Theorem Does The Pythagorean Theorem represents the side lengths of a right triangle c hypotenuse leg a leg b Right angle a2 + b2 = c2

Ways The Pythagorean Theorem can be used Finding the length of a Hypotenuse Finding the length of a leg in a Right Triangle Finding measurements

Baseball Diamond How far is it from 2nd base to home plate? b = 90 ft c = a = 90 ft 902 + 902 = c2 8100 + 8100 = 16200 c = 127 ft

Meeting a friend How far apart are the friends from each other? a = 1 mile b = 3 mile 12 + 32 = c2 1 + 9 = 10 c = 3.2 miles

Measuring a TV What is the diagonal measurement of the TV? a = 16 inches b = 9 inches c = 162 + 92 = c2 256 + 81 = 337 c = 18.3 inches

The Right Ladder What is the minimal sized ladder needed to get into the window? c= a = 20 feet b = 10 feet 202 + 102 = c2 400 + 100 = 500 feet c = 22.4 feet

How far away You live 8 blocks west and 4 blocks north from the store. How far away is your home from the store? c= b = 4 blocks a = 8 blocks 82 + 42 = c2 64 + 32 = 96 blocks c = 9.8 blocks

Building Rescue How long would the ladder have to be to rescue the people? a = 40 feet c = b = 12 feet from building 402 + 122 = c2 1600 + 144 = 1744 feet c = 41.8 feet

The Ramp How long does the wheel chair ramp need to be? 22 + 62 = c2 a = 2 feet b = 6 feet 22 + 62 = c2 4 + 36 = 40 feet c = 6.3 feet