If sides A and B of a triangle have lengths of 4 and 7 respectively, and the angle between them is π6, 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) = 12absinθ

where a, b are the 2 sides and θ the angle between them

here a = 4 , b = 7 and θ=π6
substitute theses values into the formula.

A=12×4×7sin(π6)=7 square units

Mar 5, 2016

follow the fomula

Explanation:

Area =12ABsinθ=1247sin(π6)=7squnit