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Rectangle ABCD has points E and F on sides AB and CD, respectively. If AE = AB/3 and CF = CD/4 and segments DE and BF intersect diagonal AC at G and H, respectively, what is the ratio AG:GH:HC? Express your answer in the form a:b:c, where a, b and c are relatively prime positive integers.

 Nov 11, 2021
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AG:GH:HC = 5:11:4

 Nov 11, 2021

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