The apex of a parabola is the shared vertex of two rectangles. Proof that the rectangles are similar.

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geometry puzzles

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- Post author By Rik D. Tangerman
- Post date September 20, 2022
- 1 Comment on Lopsided

## One reply on “Lopsided”

A little more direct solution:

Slope of dotted line = (a^2-c^2)/(a+c) = a -c.

b = slope*c + d = (a-c)c + c^2 = ac.

Thus b/a = ac/a = c, and d/c = c^2/c = c, and rectangles have the same shape.