Thread: pythagorean theorem

My question :

Give another proof of the pythagorean theorem by using the equations : a/c = e/a and b/c = d/b obtained from similar trigangles in some figure. (the figure is a triangle with sides abc. there is a line down the middle making it into 2 right triangles. B and A are the hypotenuse's. c is split into 2 sides D and E making C = D+E)


Honestly I dont know where to start.

given data shows us that triangle with sides a,b,c is a right triangle.(because you've stated "similar triangles")

alter your given equations




use these equations to show

which finally provides us to conclude for any right triangle, the proved equation is true.