Question

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?

Answer 1

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 "`

Answer 2

follow the fomula

Explanation:

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