In a ∆ABC, if show that its area is sq.units.

Note: In any ΔABC we define ‘a’ as length of side opposite to A , ‘b’ as length of side opposite to B and ‘c’ as length of side opposite to C .



Key point to solve the problem:


Area of ΔABC = 0.5(product of any two sides)×( sine of angle between them)


• Idea of cosine formula: Cos A =


Given


Cos A =


Area of ΔABC =


We need to find sin A


As we know that - sin2A = 1 – cos2A {using trigonometric identity}


sin A =


ar(ΔABC) = sq units. …ans


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