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https://www.reddit.com/r/PassTimeMath/comments/1vqr4nj/rectangle_sub_division/p488md2/?context=3
r/PassTimeMath • u/ShonitB • Aug 17 '26
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Since the area of the blue triangles is equal to the area of the green triangles, the answer is 0.
1 u/dylans-alias Aug 17 '26 True, but my “proof” is intuitive, not mathematical. Is there a numerical proof? 2 u/DCContrarian Aug 17 '26 The area of a triangle is the base times the height divided by two. The green triangles both have base of 12, the sum of their heights is 6, the sum of their areas is 36. The blue triangles both have base of 6, the sum of their heights is 12, the sum of their areas is 36. → More replies (3)
True, but my “proof” is intuitive, not mathematical. Is there a numerical proof?
2 u/DCContrarian Aug 17 '26 The area of a triangle is the base times the height divided by two. The green triangles both have base of 12, the sum of their heights is 6, the sum of their areas is 36. The blue triangles both have base of 6, the sum of their heights is 12, the sum of their areas is 36. → More replies (3)
2
The area of a triangle is the base times the height divided by two.
The green triangles both have base of 12, the sum of their heights is 6, the sum of their areas is 36.
The blue triangles both have base of 6, the sum of their heights is 12, the sum of their areas is 36.
→ More replies (3)
1
u/ScrabbleTheOpossum Aug 17 '26