Find A + B using parallelogram law in the diagram shown in figure. Given A = 8 units and B = 6 units.

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$\sqrt{108} units$

$\sqrt{148} units$

$\sqrt{168} units$

$\sqrt{132} units$

answer is B.

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Detailed Solution

By using parallelogram law,

$A + B = R = \sqrt{A^{2} + B^{2} + 2 ABcosθ} \Rightarrow R = \sqrt{8^{2} + 6^{2} + 2 \times 8 \times 6 \cos 60 °} \Rightarrow R = \sqrt{64 + 36 + 48} \Rightarrow R = \sqrt{148} units$

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