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Australian AMC 2016 - Intermediate Question 26

AMC AUSTRALIA · Australian AMC 2016 - Intermediate

Question 26

The right-angled triangle $ABC$ has area $2016\ \mathrm{cm}^2$. Lines $AI,IF,IE,EH,HD,DG$ divide the large triangle into seven smaller triangles of equal area. If $\triangle BIE$ is an isosceles triangle, find the length of $BG$ in centimetres.

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