Question

Ae is the bisector of the exterior angle cad meaning bc produced in


e. if ab=10cm ac=6cm and ce =18cm then find bc

Answer 1

please clear the shape of polygon

Answer 2

Answer:

BC = 12 cm

Step-by-step explanation:

Given : AB = 10 cm, AC = 6 cm and CE = 18 cm

Let length of BC be x cm

By exterior angle bisector theorem in triangle ABC, We get ,

$\frac{BE}{CE} =\frac{AB}{AC}\\\\\frac{(x + 18)}{18} = \frac{10}{6}\\\\6\cdot ( x + 18 ) = 10\cdot 18\text{ [ by cross multiplication ] }\\\\108 + 6\cdot x = 10\cdot 18\\\\ 6\cdot x=180-108\\\\6\cdot x=72\\\\x = \frac{72}{6}\\\\x = 12$

Hence, BC = 12 cm