If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is #(pi)/6#, then what is the area of the triangle?
7 square units
In a triangle if 2 sides and the angle between them(included angle) are known, then the area can be calculated using the following :
area (A) =
# 1/2ab sintheta #
where a, b are the 2 sides and
#theta " the angle between them "#
here a = 4 , b = 7 and
#theta =pi/6 #
substitute theses values into the formula.
#A = 1/2xx4xx7sin(pi/6) = 7 " square units "#