A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12# and the angle between sides B and C is #pi/6#. If side B has a length of 7, what is the area of the triangle?

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Answer 1 · 2018-07-25T08:24:43

Angle C=#(5pi)/12# given, angle A=#pi/6[=(2pi)/12]# also given

so angle B =#[12pi-7pi]/12=(5pi)/12#

This means the triangle is isosceles and side c will be length 7.

Area is #1/2#absinC

Area=#1/2xx7xx7xx sin[[pi]/6]#

Area =#1/2xx49xx1/2#

Area=#49/4#

Area =#12 1/4 units^2#