In /_\abc, lfa, b , care in h.p., then sin 2(a)/(2) , sin2 (8-Turito

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Question

In $capital delta A B C comma I f a comma$ $b$ , care in H.P., then $Sin invisible function application 2 A over 2$ , Sin2 $fraction numerator B over denominator 2 end fraction$ , Sin2 $fraction numerator C over denominator 2 end fraction$ are in

$A . P$
$G P$
$H . P$
$A . G . P .$

The correct answer is: $H. P$

$a comma b comma c$ are in $H. P comma$ $fraction numerator 1 over denominator a end fraction comma fraction numerator 1 over denominator b end fraction comma fraction numerator 1 over denominator c end fraction$ are in $A. P$ $fraction numerator s minus a over denominator a end fraction comma fraction numerator s minus b over denominator b end fraction comma fraction numerator s minus c over denominator c end fraction$ are in $A. P$

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