We have a triangle triangle ABC and a point K on BC such that AK is an altitude to $\triangle ABC. If AC = 10, BK = 7, and BC = 13, then what is the area of triangle ABC?

We have a triangle triangle ABC and a point K on BC such that AK is an altitude to $\triangle ABC. If AC = 10, BK = 7, and BC = 13, then what is the area of triangle ABC?