AD is one of the diagonal of  quad. ABCD . AM and CN are  perpendiculars from A and C respectively on BD. Show that ar ( quad. ABCD ) = 1/2  BD X ( CN + AM )

Asked by Vikas | 16th Jan, 2018, 11:58: PM

Expert Answer:

 
begin mathsize 16px style Area space left parenthesis square ABCD right parenthesis equals straight A left parenthesis triangle ABD right parenthesis plus straight A left parenthesis triangle BCD right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half BD cross times AM plus 1 half cross times BD cross times CN
space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half BD cross times left parenthesis AM plus CN right parenthesis end style

Answered by Rashmi Khot | 17th Jan, 2018, 09:34: AM