A triangle has sides A, B, and C. The angle between sides A and B is #(7pi)/12# and the angle between sides B and C is #pi/12#. If side B has a length of 26, what is the area of the triangle?
1 Answer
Aug 5, 2017
Explanation:
#"calculate the area ( A ) of the triangle using"#
#•color(white)(x)A=1/2ABsinC#
#"where C is the angle between sides A and B"#
#"we require to calculate the side A"#
#" the third angle in the triangle is"#
#pi-((7pi)/12+pi/12)=pi/3#
#"using the "color(blue)"sine rule "# in triangle ABC
#A/sin(pi/12)=26/sin(pi/3)#
#rArrA=(26sin(pi/12))/(sin(pi/3))~~ 7.77#
#rArr"area( A)"=1/2xx7.77xx26xxsin((7pi)/12)#
#color(white)(rArrareaA)~~ 97.568" to 3 dec. places"#
