pls solve this question by method for your help ans is 18
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Given,
AE is the bisector of the exterior ∠CAD meeting BC produced in E. If AB = 10 cm, AC = 6 cm and BC = 12 cm.
To Find,
CE = ?
Solution,
Internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.
Let CE = x cm. BE = BC + CE = (12 + x) cm.
BE/CE = AB/AC
==> 12 + x/x = 10/6
==> 6(12 + x) = 10x
==> 72 + 6x = 10x
==> 72 = 4x
==> x = 18
Result,
The value of CE = 18 cm.
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