Question 1103458
Take a=7 as the base for the triangle.
Angle C measure is 50 degrees.
Now you know all three angles, and one given side.


{{{b/sin(52)=7/sin(78)}}}


{{{b=7sin(52)/sin(78)}}}


HEIGHT:
{{{b*sin(50)}}}
{{{7(sin(52)/sin(78))*sin(50)}}}

{{{h=(7*sin(52)sin(50))/sin(78)}}}


AREA:
{{{(1/2)a*h}}}, h for height, a for the base, a=7.


Just make the substitutions and compute the expression for area.