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In the diagram,|AB| = 12cm, |AE| = 8cm, |DC| = 9cm and BD||DC. Find the...

Mathematics
WAEC 2025

In the diagram,|AB| = 12cm, |AE| = 8cm, |DC| = 9cm and BD||DC. Find the length of EC.

  • A. 6cm
  • B. 5cm
  • C. 8cm
  • D. 9cm
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Correct Answer: Option A
Explanation

The sides are in a common ratio

⇒ \(\frac{EC}{AE} = \frac{AB}{CD}\)

\(\frac{EC}{AE} = \frac{9}{12}\)

EC = \(\frac{8 \times 9}{12}\) = 6cm.


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