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
Jim G.
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 "

P dilip_k
Mar 5, 2016

follow the fomula

Explanation:

Area =1/2ABsintheta=1/2*4*7*sin(pi/6)=7squnit

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