1. By Holly Peters and Adelya Baban
Pythagoras Theorem
By Holly Peters and Adelya Baban

2. Facts about Pythagoras
He lived in southern Italy during the 6th century B.C
He was considered the 1st true mathematician
He was 1st to teach that the Earth was a sphere that revolves around the Sun
He proved the Pythagoras Theorem (named after him)

3. Facts about the Theorem
Named after the Greek mathematician Pythagoras
The Egyptian surveyors, the Chinese and Babylonians knew this rule already about 2000 BC, but they couldn’t prove it
The theorem is important to the evolution of the Greek concept of number and the proof demonstrates how the Greeks used such proofs

4. What is the Pythagoras Theorem?
“For any right triangle, the sum of the areas of the two small squares is equal to the area of the larger square”
a2+b2=c2

5. This is a more accurate way of showing the theorem as it doesn’t show a designated amount of squares

6. The Right Angle Triangle
The longest side is called the hypotenuse (side c)
The other sides (a and b) are called the legs
Pythagoras developed a formula for finding the length of the sides on any right angle triangle

7. Proof

8. Applications
The Pythagorean theorem has far-reaching uses in other fields (such as the arts), as well as practical applications
The theorem is invaluable when computing distances between two points, such as navigation and land surveying
Another important application is the design of ramps. Ramp designs for handicap-accessible sites and for skateboard parks are very much in demand

9. The Ladder Problem
A ladder leans against a second-story window of a house.
If the ladder is 25m long, and the base of the ladder is 7m from the house, how high is the window?

10. Ladder Problem Solution
First draw a diagram that shows the sides of the right angle triangle
Label the sides
Use a2 + b2 = c2 to find the missing side length
Ladder: 25m
Height of window?
Distance from house: 7m

11. Ladder Problem Solution
b = 24m
How did you do?
c = 25m
b = 24m
a = 7m

12. Conclusion
The Pythagoras Theorem is one of the greatest mathematical breakthroughs and is a very significant discovery
The Theorem is used in every-day life and therefore a very important theory
It should be respected and learned by all people who want to be successful in life

13. Thank You
For
Watching 