Based on e+e− collision samples corresponding to an integrated luminosity of 4.4 fb−1 collected with the BESIII detector at center-of-mass energies between 4.6 GeV and 4.7 GeV, a partial wave analysis of the charmed baryon hadronic decay Λc+→ Λπ+π0 is performed, and the decays Λc+→ Λρ(770)+ and Λc+→ Σ(1385)π are studied for the first time. Making use of the world-average branching fraction B(Λc+→Λπ+π0), their branching fractions are determined to beB(Λc+→Λρ(770)+)=(4.06±0.30±0.35±0.23)×10−2,B(Λc+→Σ(1385)+π0)=(5.86±0.49±0.52±0.35)×10−3,B(Λc+→Σ(1385)0π+)=(6.47±0.59±0.66±0.38)×10−3,where the first uncertainties are statistical, the second are systematic, and the third are from the uncertainties of the branching fractions B(Λc+→Λπ+π0) and B(Σ (1385) → Λ π). In addition, the decay asymmetry parameters are measured to be αΛρ(770)+ = − 0.763 ± 0.053 ± 0.045, αΣ(1385)+π0=−0.917±0.069±0.056, and αΣ(1385)0π+=−0.789±0.098±0.056. [Figure not available: see fulltext.] © 2022, The Author(s).