Help Me Solve this Triangle Please! Length of BE of triangle with point ABE

[tbamrah]

Hi All,

A newbie to the forum/site

Would really appreciate some assistance/guidance with the below: missing angle and length

 

[tbamrah]

Apologies,

I have updated the illustration with labels


I am looking to solve Length of BE of triangle with point ABE

I presume I would (as a bi-product) be able to identify the angle of EA to EB...

Please note: Dimension of length between BC are unknown to me

 

[tbamrah]

yes - new to geometry - apologies for not being clearer

having taken a look at your suggested link, i can confirm this is not the shape i am trying to mimic -

this is for a personal project - in designing a dining table