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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.
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`.
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