Geometric Two Column Proof - Please List (Gets so Confusing)

label Mathematics
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Jul 6th, 2015

Thank you for the opportunity to help you with your question!

as di s the the midpoint of ac then ad = dc = ac/2

now <bda + bdc = 180 => <bda = <bdc = 90

now we just have to prove AB is equal to BC as all other parameters are equal that is AD=DC , BD is common in both and both triangles are right angles so

AB = √AD^2 +BD^2

 BC = √BD^2 + CD^2

and we know that AD = CD so substituting CD in place AD we get AB = √CD^2 + BD^2

which is exactly equal to BC hence AB is also equal to BC

so we get 

AB=BC

AD = CD 

BD is common hence both triangles are identical.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 6th, 2015

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