Home » Past Questions » Mathematics » In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|.

In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|.


Question

In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|.

Options

A) 3cm

B) 4cm

C) 5cm

D) 6cm

The correct answer is B.

Explanation:

\(\frac{|YM|}{|YX|} = \frac{|ZM|}{|ZX|}\)

\(\frac{|YM|}{12} = \frac{3}{9}\)

|YM| = 3 x \(\frac{12}{9}\)

|MY| = 4cm


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