A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing \(10 \mathrm{~kW}\), (2) an induction motor drawing \(10 \mathrm{kVA}\) at 0.90 power factor lagging, and (3) a synchronous motor operating at \(10 \mathrm{hp}, 85 \%\) efficiency and 0.95 power factor leading ( \(1 \mathrm{hp}=\) \(0.746 \mathrm{~kW})\). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.