2026 NASS P1 Q13

2026 NASS P1 Q13

Secondary 4
3 marks

In triangle \(BCD\), \(BC=12\text{ cm}\), \(CD=16\text{ cm}\) and \(DB=20\text{ cm}\).

\(ADC\) is a straight line.

  1. Is \(BC\) perpendicular to \(CD\)?
    Show your working clearly.[1]
  2. Angle \(ADB=x^\circ\).
    Find the exact value of \(\cos x^\circ+\sin x^\circ\).[2]

Solution:

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Answer:(a) Yes, by the converse of Pythagoras’ theorem. (b) \(-\dfrac15\).

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