_Helopulation of a city was 2,46,978 in the years2010 in the year 2012, it was found to be increased by 259560. what was the populationof the city in 2021?

Proof: We have,

$\\ \angle A+\angle B+\angle C=180^{\circ}\\ \\\Rightarrow \angle B+\angle C=180^{\circ}-\angle A\\ \\\Rightarrow (B+C)/2=90^{\circ}-A/2$

Taking sin both side we get ,

$\\ sin(B+C/2)=sin(90^{\circ}-A/2)\\ \\\Rightarrow sin(B+C/2)=cosA/2$

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