A circle is inscribed in a TABC, with sides AC AB ,
and BC as 8 cm, 10 cm and 12 cm respectively. Find
the length of AD BE , and CF.
Answers
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Step-by-step explanation:
◆ We know that tangents from an external point are equal in length.
Given :
AB = 12 cm
BC= 8 cm
AC = 10 cm
Now let us take A as external point,thus
AD = AF
let AD = AF = x cm
So, DB = 12-x = BE [tangent from external point B]
CE = 8-12+x = -4+x = CF [tangent from external point C]
Since perimeter of ∆ABC does not change so
12+8+10= x+x+12-x+12-x-4+x-4+x
30=2x+16
2x=30-16
2x=14
x = 7 cm
So, AD = AE = 7 cm
BD=BE = 12-7=5 cm
CE=CF= -4+7=3 cm
❣️
#bal
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