2025 NASS PRELIMS P1 Q9

2025 NASS PRELIMS P1 Q9

Secondary 4
3 marks

Quadrilateral \(ABCD\) is made from triangles \(ABC\) and \(BCD\). \(AB=3\text{ cm}\), \(AC=4\text{ cm}\), \(BD=2\text{ cm}\), \(CD=\sqrt3\text{ cm}\), and angle \(ABC=90^\circ\).

  1. Find \(BC\).[2]
  2. Is triangle \(BCD\) right-angled? Show your working clearly.[1]

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Answer:(a) \(2.65\text{ cm}\) (b) Yes

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