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Trigonometry
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The angles in a triangle add to 180 degrees; therefore, the missing angle is 45 degrees and this must be an isosceles triangle, which implies that the side adjacent to the given angle must be the same as the one opposite. We can use Pythagorus' Theorem: \[x ^{2} = ( 7\sqrt{2} )^{2} + ( 7\sqrt{2} )^{2} = 196\]
\[x = \sqrt{198}\]
\[7\sqrt{2}\] 7 14 \[7\sqrt{3}\] These are the choices I get, so I am I supposed to find the radical of 198? Because then I get a decimal.
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@BillBell?
That should be \[\sqrt{196} = \sqrt{4x49} = 2 x 7 = 14\]
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