Question 1207309



{{{a=3.5}}}
{{{b=5.5}}}
{{{c=6}}}

find {{{m}}} < {{{C}}}


use the law of cosine 


{{{c^2 = a^2 + b^2 - 2ab *cos(C)}}}......substitute given values

{{{6^2 = 3.5^2 + 5.5^2 - 2*3.5*5.5 *cos(C)}}}

{{{36 = 12.25 + 30.25 -38.5 *cos(C)}}}

{{{36 = 42.5 -38.5 *cos(C)}}}

{{{38.5 *cos(C)= 42.5 -36}}}

{{{38.5 *cos(C)= 6.5}}}

{{{cos(C)= 6.5/38.5}}}

{{{cos(C)= 0.1688311688311}}}

{{{C=cos^-1(0.1688311688311)}}}

{{{C=1.4011526325293}}}...(result in radians)

{{{C=80.28013}}}°