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Can anyone point to a proof that for similar non-isosceles right triangles, the area is proportional to the square of a side? Can that be generalized to other s
by garyrob 9y ago
Can anyone point to a proof that for similar non-isosceles right triangles, the area is proportional to the square of a side? Can that be generalized to other shapes?
- jonsen 9y agoWhen you scale a figure, say by doubling all distances, the area quadruples. Scale by factor k and the area goes up by a factor k^2. So if the area proportion between the triangle and the square is T:S, and we scale both figures by the same factor k, we get areas k^2* T and k^2* S respectively. But k^2* T:k^2* S = T:S.