Find the missing term in the following figure.

3

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9

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1

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2

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Solution

The correct option is D $2$
$5^{2} + 4^{2} - 3^{2} = 28$
$\Rightarrow 25 + 16 - 9 - 4 = 28$
$\Rightarrow 41 - 13 = 28$
$\Rightarrow 28 = 28$

$8^{2} + 4^{2} - 8^{2} - x^{2} - 1 = 12$
$\Rightarrow 16 - x^{2} = 12$
$\Rightarrow x^{2} = 4$
$\Rightarrow x = 2$

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