Pythagorean Theorem Proof
- Author:
- Carlos Molina
This applet can show us one of the many proofs created to illustrate the Pythagorean Theorem, which is a^2 +b^2=c^2. Where a and b are the legs and c is the hypotenuse of a generic right triangle which sides a,b,and c. In this case, we have two squares one with an area equal to the product of the length sides AB and BG, the other square has an area of the product of HD and ED. Also,we have two congruent right triangles ABC and CDE, where the segments AB and CD are the longer legs, and the segments AC and ED are the shorter legs. If we rotate the triangles ABC and CDE using the sliders alfa and beta we can built a new triangle with an area that result from the product of the segments BC and CE.Therefore we have that (AB)^2 + (ED)^2= (BC)^2 or a^2+b^2=c^2.