Rectangle offspring

Three rectangles of which the blue and the pink one are similar. Prove that the yellow rectangle is also similar.

Scroll down for a solution to this problem.


Solution by Kamran Zamani.


Please find here the video solution: Video: Rectangle offspring.

Connect B to L. Similarity dictates that this line will pass through the shared corner. Which means that (a+c)/(b+d) is also equal to a/b and c/d.

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One reply on “Rectangle offspring”

x/a = c/ (a+c) …… (1)
y/d = a/(a+c) ………(2)

These two equations gives x/y = c/d

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