Prove that in △ABC external bisector of angle A, external bisector of angle B and
internal bisector of angle C are concurrent. plz solve
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In △ABC,AE is the external bisector of ∠A meeting BC produced at E.
Let CE=x cm. Now, by the angle bisector theorem, we have
CE
BE
=
AC
AB
⇒
x
12+x
=
6
10
⇒3(12+x)=5x.
⇒x=18.
Hence, CE=18 cm.
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