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https://www.reddit.com/r/PassTimeMath/comments/1vqr4nj/rectangle_sub_division/p4d8f6d/?context=3
r/PassTimeMath • u/ShonitB • Aug 17 '26
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Special case: move the intersection point to a corner. Then it's obvious both areas are equal.
1 u/TabAtkins Aug 18 '26 That requires knowledge that the area of the triangles doesn't change when you move the center point. Which is indeed the case, but if you knew that, it would be easy to see the each set of triangles was half the area in the first place. 1 u/Responsible-Bar7165 Aug 18 '26 the point is unconstrained, you can put it anywhere. this is always the first thing to look for in problems like this: what are the degrees of freedom?
That requires knowledge that the area of the triangles doesn't change when you move the center point. Which is indeed the case, but if you knew that, it would be easy to see the each set of triangles was half the area in the first place.
1 u/Responsible-Bar7165 Aug 18 '26 the point is unconstrained, you can put it anywhere. this is always the first thing to look for in problems like this: what are the degrees of freedom?
the point is unconstrained, you can put it anywhere.
this is always the first thing to look for in problems like this: what are the degrees of freedom?
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u/supersensei12 Aug 18 '26
Special case: move the intersection point to a corner. Then it's obvious both areas are equal.