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

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Eleanor Discussed
In figure, a circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC=8 cm and AC=10 cm, then find the lengths of AD, BE and CF.
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Text SolutionText solutionverified iconVerified

We know that AD= AF
                         BD=BE
                          CE=CF

Let AD= AF=
 BD=BE=

CE=CF=

Then


On Solving above equation we get

So AD=7 , BE=5 , CF= 3
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Question Text
In figure, a circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC=8 cm and AC=10 cm, then find the lengths of AD, BE and CF.
Answer TypeText solution:1
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