(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given a triangle ABC with BC = 2AB. D and E are the midpoints of BC and BD respectively. Show that AD bisects angle CAE.

2. Relevant equations

3. The attempt at a solution

Let AB= x, so DC= AB= x and ED = x/2. If AD bisects angle CAE,

then AC/AE = DC/DE

AC/AE = x/(x/2)

AC: AE = 2:1

That's how far i can do... I tried using sine rule to prove that AC:AE = 2:1 but it did not help. Can anyone guide me?

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# Geometry deduction

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