Draw the \(7\text{ cm}\) base. Construct \(5\text{ cm}\) and \(3\text{ cm}\) perpendicular sides at its endpoints on the same side, then join the endpoints.

Measuring the completed drawing gives about \(7.3\text{ cm}\) for \(CD\) and \(74^\circ\) for the angle between \(DA\) and \(DC\). Small drawing and measuring differences are expected.

Points on a line parallel to \(AB\) have the same perpendicular distance from it. Here those distances are \(5\text{ cm}\) and \(3\text{ cm}\), so the extra parallel condition is impossible.

Answer

An accurate drawing gives approximately \(CD=7.3\text{ cm}\) and \(\angle ADC=74^\circ\). The side \(CD\) cannot be parallel to \(AB\).