Question

In the given figure, ∆AMB ∼ ∆CMD; determine MD in terms of x, y and z.

Answer 1

We are given ∆AMB ∼ ∆CMD

We have to determine the value of MD in terms of x, y and z.

Given  `Δ AMB ∼ Δ CMD `

\[\Rightarrow \frac{BM}{MD} = \frac{AM}{CM}\]
\[\frac{x}{MD} = \frac{y}{z}\]

By cross multiplication we get  `MD = (xz)/y`

Hence, the value of MD is  `(xz)/y`.