4.
AE is the bisector of exterior ZCAD meeting BC
produced in E. If AB = 10 cm, AC = 6 cm and
CE = 18 cm, then find BC.
Answer with working
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3
Answer:
BC=12cm
Step-by-step explanation:
The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.
By exterior angle bisector theorem
CE
BE
=
AC
AB
CE
BC+CE
=
AC
AB
x
12+x
=
6
10
x
12+x
=
3
5
36+3x=5x
36=2x
x=18
Hence CE=18cm
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