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A circle is inscribed in a DABC having sides 8 cm, 10 cm and 12 cm as shown in figure. Find AD, BE and CF.

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asked Mar 15, 2018 in Mathematics by shabnam praween (19,050 points) ● 5 ● 6 ● 75

A circle is inscribed in a DABC having sides 8 cm, 10 cm and 12 cm as shown in figure. Find AD, BE and CF.

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answered Mar 15, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 21
selected Mar 20, 2018 by faiz
 
Best answer

We know that the tangents drawn from an external point to a circle are equal. Therefore,

Let AD = AF = x; BD = BE = y and CE = CF = z
Now, AB = 12 cm, BC = 8 cm and CA = 10 cm

Hence, AD = x = 7 cm, BE = y = 5 cm and CF = z = 3 cm

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