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Question Number 18801 by behi.8.3.4.1.7@gmail.com last updated on 30/Jul/17

Commented by behi.8.3.4.1.7@gmail.com last updated on 30/Jul/17

AB=10,AC=12,BC=16  connect foot of altitudes to make black  triangles and do this in next triangles,  as shown.  find the area of last small black triangle.

$${AB}=\mathrm{10},{AC}=\mathrm{12},{BC}=\mathrm{16} \\ $$$${connect}\:{foot}\:{of}\:{altitudes}\:{to}\:{make}\:{black} \\ $$$${triangles}\:{and}\:{do}\:{this}\:{in}\:{next}\:{triangles}, \\ $$$${as}\:{shown}. \\ $$$${find}\:{the}\:{area}\:{of}\:{last}\:{small}\:{black}\:{triangle}. \\ $$

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