Online Geometry theorems, problems, solutions, and related topics.
Geometry ProblemClick the figure below to see the complete problem 590.Zoom at: Geometry Problem 590
Using the result of Problem 587,2(S2 + S3) =r(b-c) + r(a-b)=r(a-c)=2S1
I cheated, using a 3,4,5 right triangle and graph paper. Using Cartesian coordinates and Pythagorean relationships, the numbers work just fine. I intend to try a couple other 'friendly' triangles as well, but I'm sure the intent here is to develop a more general solution based on Euclid.