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The sides of the triangle are

\"\"

and

\"\"

.

\

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The angle of triangle $\"\"$ .

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Solve the triangle by using Law of Sines.

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Apply law of sines formula: $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The angle $\"\"$ and $\"\"$ .

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For both the choices of $\"\"$ , $\"\"$ .

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Therefore, two choices satisfies the condition of triangles.

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There exists two triangles with these measurements.

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$\"\"$

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The sum of three angles in a triangle is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find other side.

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Consider $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$ , $\"\"$ and $\"\"$ .