In RT △ ABC, ∠ C = 90 °, ab = 5cm, AC = 4cm, BC = 3cm, the height on the edge of AB is

In RT △ ABC, ∠ C = 90 °, ab = 5cm, AC = 4cm, BC = 3cm, the height on the edge of AB is

If the triangle area is fixed, the area calculated by the two methods should be equal: 0.5bc * AC = 0.5ab * D (D is the height of AB) to get d = 2.4cm