Question #f0256

1 Answer
P dilip_k
Jan 18, 2018

1st part #=(c ^2 - a ^2 + b ^2 )tan A #

#=(2bc(b ^2+c^2 - a ^2 ))/(2bc)tan A #

#=2bc cosAxxsinA/cosA #

#=4xx1/2bcsinA=4Delta#

Similarly

2nd part
#= (a ^2 - b ^2+ c ^2)tan B#
#=4xx1/2casinB=4Delta#

And 3rd part
# = (b ^2 - c ^2 + a ^2)tan C#

#=4xx1/2ab sin C=4Delta#

Hence proved

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