Two sides of a triangle measures \(10\text{ cm}\) and \(6\text{ cm}\) and the angle in between them measures \(120^\circ\). What is the measure of the third side (in \(\text{cm}\))?

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A triangle has a \(60^\circ\) angle. If two of its sides are \(1\text{ m}\) long, how many different triangles can one draw which fit these measurements?

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If the sides of a non-degenerate triangle are \(a,b,\sqrt{a^2+b^2+ab} \), then find the measure of the greatest interior angle of this triangle (in degrees).

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