Question

Triangle ABC is a right angled triangle where angle C = 90degree. The external bisector BD of angle ABC meets AC produced at D. If AB = 17cm & BC = 8cm find AC & BD

Answer 1

Answer:

In △ABC,AE is the external bisector of ∠A meeting BC produced at E.

Let CE=x cm. Now, by the angle bisector theorem, we have

CE

BE

=

AC

AB

⇒

x

12+x

=

6

10

⇒3(12+x)=5x.

⇒x=18.

Hence, CE=18 cm.

Step-by-step explanation:

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