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【Haichuan Teahouse】Brain-teasing Series: How to Go from Small to Large

2022-03-11View Original

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Given that the areas of the 4 small triangles in the figure are 20, 8, 10, and 30 respectively, what is the area of the large triangle?
Reply #22022-03-12
The area of the large triangle is 120……Since two triangles with the same height have the same ratio of areas to the same ratio of side lengths, let the areas of the two smaller triangles with unknown areas be a and b respectively; by setting up a system of equations, it is possible to determine the values of a and b.:lol

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