Splitting squares
by ldh
77
skips
skips
23
questions
questions
Act One
 1.
Act Two
 LinkGeogebra Applet used in video
 Teacher noteYou can play around with the geogebra applet to see if your solution is correct, or to try and find a solution.
Click the check box in the applet to see the geometric solution to this problem.
This could also be solved using a system of equations. You have enough information to find the side lengths of the triangles, which are the "heights" of the six rectangles. It may seem like you need six variables for the width of the six rectangles, but you only need three. Three equations with three unknowns.
 Filehandout
Act Three
 Teacher noteI first saw this as a proof for the Law of Cosines  see the link in the prologue. The proof follows easily from the hints on the applet.
Sequel
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How do exterior angles of points A, B, and C compare to their interior (within the triangle) angles












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