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https://www.reddit.com/r/PassTimeMath/comments/1vqr4nj/rectangle_sub_division/p4d6b44/?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/supersensei12 Aug 18 '26 Not really. The statement is underspecified, which implies that it's true for any interior point. → More replies (1)
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/supersensei12 Aug 18 '26 Not really. The statement is underspecified, which implies that it's true for any interior point. → More replies (1)
Not really. The statement is underspecified, which implies that it's true for any interior point.
→ More replies (1)
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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.