Question

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​

Answer 1

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