Question

Ae is the bisector of the exterior angle cad meeting bc produced in e if ab =10 ac=6 and bc =12 find ce

Answer 1

Step-by-step explanation:

Given: AE is the bisector of the exterior ∠CAD and AB = 10 cm, AC = 6 cm, and BC = 12 cm.

required to find: CE

since AE is a Bisector of the exterior angle CAD

BE/CE = AB/AC

lets take CE as X

so we have

BE/CE = AB/AC

(12+x) / x = 10/6

6x + 72 = 10x

10x - 6x = 72

4x = 72

x= 18

therefore, CE = 18cm

Answer 2

Answer:

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

BE /CE= AB/ AC

BC + CE/ CE =AB /AC

12 + x /x=10 /6

12+x/x=5/3

36 + 3x = 5x

36 = 2x

x = 18

Hence CE = 18cm

Step-by-step explanation:

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