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A circle is inscribed in a A B C having...

A circle is inscribed in a ` A B C` having side `8c m ,10 c ma n d12 c m` as shown in Figure. Find `A D ,B Ea n dC Fdot`

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Given: AB= 12 cm , BC=8 cm and AC= 10 cm
Tangents drawn from external point to the circle are equal
`:. AF=AD=x , BD =BE=y and CF=DE=z`
`AC = AF+FC`
`:. 10= x+z` ....eq(1)
`AB= AD+BD `
`:.12 = x+y` ...eq(2)
`BD= BE+CE`
...
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