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Maths-

General

Easy

Question

In $capital delta A B C comma$ $R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals$

1 $Δ$
$3 Δ$
$2 Δ$
$4 Δ$

The correct answer is: $2 capital delta$

Given $R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals$
$R to the power of 2 end exponent$ ( $4 blank s i n blank$ AsinBsin $C$ )
$equals 4 a to the power of 2 end exponent cross times fraction numerator a over denominator 2 a end fraction cross times fraction numerator b over denominator 2 a end fraction cross times fraction numerator c over denominator 2 a end fraction equals fraction numerator a b c over denominator 2 R end fraction equals 2 capital delta.$

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