What category are melons and cucumbers?

Answer 1

cucumbers are vegetables and with melons i guess it depends on the kind of melon like cantaloupe, honeydew and watermelon are fruits

Cucumbers are a fruit. Melons are an epigynous berry or false berry, an accessory fruit found in certain plant species with an inferior ovary, distinguishing it from a true berry. In these species other parts of the flower (including the basal parts of the sepals, petals and stamens) can ripen along with the ovary.