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In the given figure, a circle inscribed ...

In the given figure, a circle inscribed in a triangle `ABC`, touches the sides `AB`, `BC` and `CA` at points `D`, `E` and `F` respectively. If `AB=14cm`, `BC=8cm` and `CA=12cm`, find the lengths of `AD`, `BE` and `CF`.
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Text Solution

Verified by Experts

`x+y=14`, `y+z=8`, `z+x=12`.
Solving, `x=9`, `y=5`, `z=3`.
`:.AD=x=9cm`, `BE=y=5cm`, `CF=z=3cm`.
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