Phylogenetic trees show evolutionary relationships between organisms or species. They can be rooted, with a starting common ancestor, or unrooted, showing only relatedness. Trees are constructed through distance-based methods, which calculate dissimilarity between sequences, or character-based methods like maximum parsimony, which finds the tree with the fewest evolutionary changes, and maximum likelihood, which finds the tree with the highest probability based on character data. Phylogenetic trees are significant for studying evolutionary histories, tracing infectious diseases, and discovering new species.