Distances in a parallelogram

Distances in a parallelogram

Secondary 2
TGM Original Questions

Parallelogram \(PQRS\) has area \(72\text{ cm}^2\), \(SP=10\) cm and \(PQ=12\) cm. The perpendicular from \(S\) meets \(PQ\) at \(T\). Find

  1. \(ST\),
  2. \(PT\),
  3. \(SQ\),
  4. the shortest distance from \(P\) to \(QS\).

Solution:

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Answer:(a) \(6\) cm; (b) \(8\) cm; (c) \(2\sqrt{13}\approx7.21\) cm; (d) \(36/\sqrt{13}\approx9.98\) cm.

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