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In the given figure, a circle is inscrib...

In the given figure, a circle is inscribed in a `DeltaABC` such that it touches the sides AB, BC, and CA at points D, E, and F respectively. If the lengths of the sides AB, BC, and CA are 12 cm, 8 cm, and 10 cm respectively, find the lengths of AD, BE, and CF.

Text Solution

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The correct Answer is:
`AD= 7 cm, BE = 5 cm, CF = 3 cm`.
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Knowledge Check

  • In a Δ ABC, D,E,F are respectively, the mid- points of BC,CA, and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm, 9 cm, respectively, find the perimeter of Δ DEF.

    A
    `12 cm`
    B
    `21 cm`
    C
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    D
    `18 cm`

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