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WAEC Mathematics 2015 Paper

Question : 27

Total: 45

Solution:

Concept:

When a line is parallel to one side of a triangle, the two triangles formed are similar, so their corresponding sides are proportional.

Explanation:

\triangle XVW

and

\triangle XYZ

VW \parallel YZ

, so the triangles are similar.

Thus, the corresponding sides are in the same ratio:

\frac{XV}{XY} = \frac{XW}{XZ}

Substitute the known values:

\frac{VX}{16} = \frac{6}{12}

Simplify:

\frac{VX}{16} = \frac{1}{2}

Multiply both sides by

16

VX = 8\text{ cm}

Answer:

|VX| = 8\text{ cm}

, so the correct option is D.

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