Past tense
怖った it was scary
食べた I ate
Attributive
making verbs sort of an adjective 〜た 〜でいる, it implies a state of being, but it is as a result of an action in the past.
割れた卵 A broken egg
田中さんが買った服は和服だ As for the clothing that Tanaka bought, they are Japanese clothing.
田中さんが有名だったことは本当です As for Tanaka being famous, it is honest/real.
昨日飲んだジュースを覚えている？ Do you remember the juice we drank yesterday?