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WAEC Mathematics 2025 Paper

Question : 37

Total: 50

Solution:

Concept:

The diagram contains similar triangles, so their corresponding sides are in the same proportion.

Explanation:

From the similar triangles, the ratio of one pair of corresponding sides equals the ratio of another pair.

Using the given lengths:

\frac{EC}{AE} = \frac{DC}{AB}

Substitute

AE = 8

cm,

DC = 9

cm and

AB = 12

cm:

\frac{EC}{8} = \frac{9}{12}

EC = \frac{8 \times 9}{12} = 6

Answer:

6

cm (Option A)

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