# 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?

##### 1 Answer

Mar 22, 2016

≈ 2.679 square units

#### Explanation:

Given a triangle with 2 sides and the angle between them known , as in this question then we can use the following formula.

area

#= 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 "#