$(94)^{2} + (?)^{2} = (145)^{2} - (56)^{2} - 3869$

5184

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7056

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None of these

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Solution

The correct option is B 72
Here,
$(?)^{2} = (145)^{2} - (56)^{2} - 3869 - (94)^{2} = (145)^{2} - {56^{2} + 3869 - (94)^{2}} = (145)^{2} - {3136 + 3869 + 8836} = 21025 - {15841} = 5184 \Rightarrow ? = \sqrt{5184} = 72$

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