If the median AD of triangle ABC makes an angle `pi/4`with the side BC – InterviewSolution

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1.	If the median AD of triangle ABC makes an angle `pi/4`with the side BC, then find the value of `\|cotB-cotC\|dot`
Answer» By m-n theoram `(m+n)cottheta=mcotalpha-cotbeta` `(m+n)cottheta=ncotbeta-mcotC` `(BD+DC)cot(x/4)=DC cot B-BD cotC` `BD+DC=DC cot B-BD cotC` `2BD=BD cot B- BD cot C` `\|cotB-cotC\|=2`.

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