|February 28th, 2017, 07:34 AM||#1|
Joined: Oct 2015
Proof of four triangles with equal area.
I have been working on proofs without words, but I have a bit of a problem about Steven Snover's proof. It proves that these four triangles have equal area. Proof comes from rotation, but I couldn't get it.
Last edited by skipjack; February 28th, 2017 at 08:36 AM.
|February 28th, 2017, 08:22 AM||#2|
Joined: Sep 2016
Math Focus: Dynamical systems, analytic function theory, numerics
Here is a hint. The outside triangles each have 2 sides equal in length to 2 sides of the inner triangle and the angle between these sides is complimentary to the corresponding angle of the inner triangle.
|February 28th, 2017, 08:45 AM||#3|
Joined: Dec 2006
Each particular rotated triangle aligns after rotation with the central triangle. The two triangles have the same height and the corresponding base lengths are the same, so the triangles have equal area.
|area, equal, proof, triangles|
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