How to write a geometric proof for pythagorean theorem?
How do you write a two column geometric proof for pythagorean theorem?
- Anonymous9 years agoFavorite Answer
Just draw two identical squares. Divide the top of each the same
way but unequally so you have length A at left and B at right.
On the left square; left side A on top, bottom A left, right side
A top. Put in a horizontal and vertical line to connect the four
points; then put a diagonal in the two rectangles.
On the right square; left side B top, bottom B left, right side
A top. Connect the points on adjacent sides to make a square
and four rectangles
The left square has A² + B² + 4 triangles
The right square has C² + 4 triangles
So A² + B² = C².
- AndreaLv 44 years ago
I have just read this excellent book about mathematics, and I can answer your question quite simply: The Egyptians and the Chinese knew this law 1000 years or so before Pythagoras, so they are the discoverers of this law. Pythagoras, however, is almost always credited as the contributor. (Don't you find it cute that the Archimedes' Screw is called so called even though he didn't invent it? What is with the ancient Greeks?) Pythagoras has a fascination for proving numbers, and he is credited the most because it was he who PROVED that it goes for ALL right-angled triangles. He is a renowned mathematician, and proved this theorem because he believed in proving something first instead of giving a sweeping statement. His other works are 'perfect numbers like 6 and 28'.