Question:
In the given figure, ∆AMB ∼ ∆CMD; determine MD in terms of x, y and z.
Solution:
We are given ∆AMB ∼ ∆CMD
We have to determine the value of MD in terms of x, y and z.
$\Rightarrow \frac{B M}{M D}=\frac{A M}{C M}$
$\frac{x}{M D}=\frac{y}{z}$
By cross multiplication we get $M D=\frac{x z}{y}$
Hence, the value of $M D$ is $\frac{x z}{y}$.