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In the Given Figure, ∆Amb ∼ ∆Cmd; Determine Md in Terms of X, Y and Z. - Mathematics

Sum

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

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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`.

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 10 | Page 125
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