Areas in Triangle II
Here's a problem very much related to a better known one. Given a triangle, extend each side by its own length in one direction following a certain order. Connect the newly obtained points. Prove that the area of the big triangle is 7 times that of the given one.
|What if applet does not run?|
Of course, we can add 1, 2, 3, or, in general, N lengths to each side. The triangles so obtained have areas 7, 19, 37, or, in general,
Copyright © 1996-2017 Alexander Bogomolny