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In the given figure, a circle inscribed in a triangle `ABC`, touches the sides `AB`, `BC` and `AC` at points `D`, `E` and `F` respectively. If `AB=12cm`, `BC=8cm` and `AC=10cm`, find the lengths of `AD`, `BE` and `CF`.

Text Solution

Verified by Experts

`x+y+12`, `y+z=8`, `z+x=19`.
Solving , we get `x=7`, `y=5`, `z=3`
`:. AD=x=7cm`, `BE=y=5cm`, `CF=z=3cm`
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