# 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?

##### 2 Answers

Mar 5, 2016

7 square units

#### Explanation:

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 "#

Mar 5, 2016

follow the fomula

#### Explanation:

Area =