2026 TPSS P1 Q24

2026 TPSS P1 Q24

Secondary 4
5 marks

\(JKLM\) is a trapezium and \(JNL\) is a straight line. \(JK\) is parallel to \(ML\). \(NM=5\text{ m}\), \(KL=8\text{ m}\) and \(JK=12\text{ m}\).

  1. State, with clear reasons, a pair of similar triangles.[2]
  2. Find the length of \(NL\).[2]
  3. Find the value of \(\tan\angle JLM\).[1]

Solution:

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Answer:(a) \(\triangle JKL\sim\triangle LNM\) (AA) (b) \(7.5\text{ m}\) (c) \(\dfrac23\)

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