Head coach Derek McInnes confirmed the injuries to Findlay, Ageu and goalkeeper Craig Gordon, whose shoulder issue threatens to rule him out of Scotland's upcoming friendlies. Hearts are four points clear at the top of the Premiership.
Despite the injury setbacks, McInnes remains confident, saying: "It's easy to feel sorry for yourself, but it's unrealistic to go through a full campaign without injuries. We've still got enough to put a strong team out on Saturday."