If sides A and B of a triangle have lengths of 2 and 7 respectively, and the angle between them is #(pi)/8#, then what is the area of the triangle?
≈ 2.679 square units
Given a triangle with 2 sides and the angle between them known , as in this question then we can use the following formula.
#= 1/2ab sintheta #
where a and b are the 2 sides and
#theta ," the angle between them " #
here a = 2 , b = 7 and
# theta = pi/8 #
#rArr" area " = 1/2xx2xx7xxsin(pi/8) ≈ 2.679" square units "#