There is mounting evidence for triplet superconductivity in the recently discovered skutterudite compound PrOs₄Sb₁₂. In this work, we propose nodal order parameters for the A and B phases of this superconductor which are consistent with angle-dependent magnetothermal conductivity measurements and with low-temperature thermal conductivity data in the range T ≳ 150 mK. The quasiparticle density of states and the thermal conductivity κ_zz are derived within the quasiclassical approximation.