If be a triangle of the area ∆ with and, where and are the lengths of the sides of the triangle opposite to the angles at and, respectively. Then is equal to
Explanation for the correct option
Step 1: Find a semi-perimeter for given
If be a triangle of the area ∆ and (where the length of the sides of the triangle)
Where is the semi-perimeter of a triangle
Step 2: Find the value of
Solve above expression
Now solve the above equation from the formula of
But here
(From Properties of triangle formulae)
Multiply numerator and denominator by (s – b)(s – c)
Step 3: Put the values of in the above equation.
Hence option (C) is the correct answer.