SSC CHSL 01 July 2024 Shift 3 Paper

In a triangle ABC, AB = 6 units, BC = 8 units and AC = 10 units. Let M be a point on AC such that BM = 5 units. With a point D , a triangle BMD is formed and the triangle BMD is similar to the triangle ABC with $\frac{\mathit{B}\mathit{M}}{\mathit{A}\mathit{B}}=\frac{\mathit{B}\mathit{D}}{\mathit{A}\mathit{C}}$. What is the length of BD in units?