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Triangle formed inside a rectangle

Triangle formed inside a rectangle

Secondary 2
6 marks
TGM Original Questions

Rectangle \(PQRS\) has \(PQ=15\) cm and \(QR=20\) cm. Point \(X\) lies on \(SR\) with \(SX=\frac35SR\). Find, to 3 significant figures where necessary,

  1. the perimeter of \(\triangle SQX\),[2]
  2. its area,[2]
  3. the perpendicular distance from \(X\) to \(QS\).[2]

Solution:

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Answer:(a) \(54.9\) cm (b) \(90\text{ cm}^2\) (c) \(7.2\) cm.

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