- #1

- 14

- 0

## Main Question or Discussion Point

I have used the pythagorean theorem quite frequently yet have never have it proved for me. I tried to do so myself but as i suck at maths i was unsuccessful. Any links proving it would be apppreciated.

- Thread starter eprjenkins
- Start date

- #1

- 14

- 0

I have used the pythagorean theorem quite frequently yet have never have it proved for me. I tried to do so myself but as i suck at maths i was unsuccessful. Any links proving it would be apppreciated.

- #2

Gib Z

Homework Helper

- 3,346

- 5

- #3

HallsofIvy

Science Advisor

Homework Helper

- 41,806

- 932

- #4

- 374

- 1

http://www.aurora.edu/mathematics/bhaskara.htm

here is the proof by euclid:

http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI47.html

- #5

- 14

- 0

Thankyou all very much.

Just been reading some of them. Bhaskara's proof is excellent.

Just been reading some of them. Bhaskara's proof is excellent.

Last edited:

- #6

- 255

- 0

actually, it was mckinley's assassination that gave us Teddy's first term of office. Chester Arthur was Garfield's successor.

- #7

mathwonk

Science Advisor

Homework Helper

- 10,820

- 983

now change the angle of the lines subdividing the square, until they leave a small square in the center, with 4 right triangles around it of sides a,b,c.

then the small square in the center has area (b-a)^2, and the 4 triangles have total area 2ab, so the sum of 2ab and (b-a)^2 must equal c^2.

QED.

i found this proof sitting on the plane for a while with a small scrap of paper, (and not playing with a calculator).

- #8

mathwonk

Science Advisor

Homework Helper

- 10,820

- 983

apparently i rediscovered bhaskara's proof, but my remark on the special case shows you how to think of it, which he does not.

notice the reason I am able to tell you how to think of it, is that i did think of it myself, and did not just read it and memorize it.

notice also that my example illustartes a basic principle in problem solving: i.,e. MAKE THE PROBLEM EASIER. then solve the easier problem and try again to use what you learned on the harder one.

notice the reason I am able to tell you how to think of it, is that i did think of it myself, and did not just read it and memorize it.

notice also that my example illustartes a basic principle in problem solving: i.,e. MAKE THE PROBLEM EASIER. then solve the easier problem and try again to use what you learned on the harder one.

Last edited:

- #9

- 14

- 0

The day i can make my own proofs i will be very happy.

- #10

HallsofIvy

Science Advisor

Homework Helper

- 41,806

- 932

I knew that! Apparently I'm better at math than I am at history!actually, it was mckinley's assassination that gave us Teddy's first term of office. Chester Arthur was Garfield's successor.

- Last Post

- Replies
- 13

- Views
- 2K

- Last Post

- Replies
- 14

- Views
- 5K

- Last Post

- Replies
- 22

- Views
- 5K

- Last Post

- Replies
- 6

- Views
- 3K

- Replies
- 1

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 7K

- Last Post

- Replies
- 19

- Views
- 8K

- Last Post

- Replies
- 4

- Views
- 4K

- Replies
- 13

- Views
- 13K

- Replies
- 6

- Views
- 11K