Similarity Proof, Triangles

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Geometry is not my strong suit and Im struggling with a problem I've been assigned.

I'm relatively familiar with proving the cosine rule, however I cant seem to complete part a of the question which is used in the steps of part b.

I started showing that angle AED and angle BEC are similar due to being vertically opposite, however, should i be also trying to determine side lengths to prove similarity between both these triangles as I am struggling to find any other aspects that show these triangles are similar.

Any help would be much appreciated, Thanks. (Question is attached)

Question :

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