Determine the area of the triangle specified by a equals 7 f

Determine the area of the triangle specified by a equals 7 ft comma Upper A equals 68 degrees comma and Upper B equals 53 degrees .a=7 ft, A=68°, and B=53°.
(round to two decimal places)

Solution

C=180-A-B=59 degree

using sine law

sinA/a=SinC/c

sin 68/7=sin 59/c

c=6.47

area=(ac/2)sinB=(7*6.47/2)sin 53=18.09 ft²