A trapezium with an internal sight line

A trapezium with an internal sight line

Secondary 2
TGM Original Questions

In trapezium \(ABCD\), \(AB\parallel DC\), \(AB=5\) cm, \(DC=8\) cm, \(AD=6\) cm and \(AD\perp DC\). Point \(E\) lies on \(DC\), with \(\angle EAD=35^\circ\). Find

  1. the area of \(ABCD\),
  2. \(\angle ACD\),
  3. \(AE\). Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

Solution:

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Answer:(a) \(39\text{ cm}^2\); (b) \(36.9^\circ\); (c) \(7.32\) cm.

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