This paper investigates quantum dynamics in triangular billiards, classifying them as integrable, pseudo-integrable, or non-integrable based on their internal angles. The study uses five properties: level spacing ratio (LSR), spectral complexity (SC), Lanczos coefficient variance, energy eigenstate localisation in the Kryov basis, and spread complexity. Integrable triangles show the lowest LSRs and highest level spacing fluctuations, with quadratic late-time SC growth due to spectral degeneracies. Their Lanczos coefficients have the highest variance, and energy eigenstates are strongly localized in the Kryov basis. Spread complexity for integrable triangles does not show a complexity peak and exhibits Poincaré recurrences. Pseudo-integrable triangles show LSRs and SC growth close to Poisson spectra, with smaller Lanczos variances than integrable triangles but larger than generic triangles. Their energy eigenstates are less localized than integrable triangles but more so than generic triangles. Right triangles have LSRs slightly lower than GOE, with SC growth slightly faster than generic triangles. Generic pseudo-integrable triangles show SC growth close to GOE predictions, with low Lanczos variances. Generic non-integrable triangles match GOE expectations for LSRs and SC growth, with the lowest Lanczos variances and most delocalized energy eigenstates. The study highlights the distinction between integrable, pseudo-integrable, and non-integrable dynamics in triangular billiards, showing how their quantum properties differ. The results suggest that symmetry and topology play a key role in determining the quantum behavior of these systems.This paper investigates quantum dynamics in triangular billiards, classifying them as integrable, pseudo-integrable, or non-integrable based on their internal angles. The study uses five properties: level spacing ratio (LSR), spectral complexity (SC), Lanczos coefficient variance, energy eigenstate localisation in the Kryov basis, and spread complexity. Integrable triangles show the lowest LSRs and highest level spacing fluctuations, with quadratic late-time SC growth due to spectral degeneracies. Their Lanczos coefficients have the highest variance, and energy eigenstates are strongly localized in the Kryov basis. Spread complexity for integrable triangles does not show a complexity peak and exhibits Poincaré recurrences. Pseudo-integrable triangles show LSRs and SC growth close to Poisson spectra, with smaller Lanczos variances than integrable triangles but larger than generic triangles. Their energy eigenstates are less localized than integrable triangles but more so than generic triangles. Right triangles have LSRs slightly lower than GOE, with SC growth slightly faster than generic triangles. Generic pseudo-integrable triangles show SC growth close to GOE predictions, with low Lanczos variances. Generic non-integrable triangles match GOE expectations for LSRs and SC growth, with the lowest Lanczos variances and most delocalized energy eigenstates. The study highlights the distinction between integrable, pseudo-integrable, and non-integrable dynamics in triangular billiards, showing how their quantum properties differ. The results suggest that symmetry and topology play a key role in determining the quantum behavior of these systems.