2025 IGCSE 0580 February/March P22 Q18

2025 IGCSE 0580 February/March P22 Q18

9 marks

The quadrilateral \(ACDE\) is formed by two right-angled triangles \(ABE\) and \(BCD\).

\(AC=17\text{ cm}\), \(AE=18\text{ cm}\) and \(BD=6\text{ cm}\).

  1. Show that \(CD=10\text{ cm}\).[5]
  2. Find the perimeter of the quadrilateral \(ACDE\).
    Give your answer in the form \(p+k\sqrt q\).[4]

Solution:

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Answer:(a) \(CD=10\text{ cm}\) (shown). (b) \((39+9\sqrt3)\text{ cm}\).

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