1. The Pythagorean Theorem
By Christiana Purnell

2. 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)

3. 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

4. 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

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

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

7. Measuring a TV What is the diagonal measurement of the TV?
a = 16 inches
b = 9 inches
c =
= c2
= 337
c = 18.3 inches

8. The Right Ladder
What is the minimal sized ladder needed to get into the window? c=
a = 20 feet
b = 10 feet
= c2
= 500 feet
c = 22.4 feet

9. 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
= c2
= 96 blocks
c = 9.8 blocks

10. Building Rescue
How long would the ladder have to be to rescue the people?
a = 40 feet
c =
b = 12 feet from building
= c2
= 1744 feet
c = 41.8 feet

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