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