Collinear-base compound with two right angles

Collinear-base compound with two right angles

Secondary 2
TGM Original Questions

Points \(B,C,D\) are collinear. Given \(BC=4.5\) cm, \(AC=9\) cm, \(AD=14\) cm, \(\angle ACD=\angle AED=90^\circ\) and \(\angle DAE=42^\circ\), calculate

  1. \(\angle ABC\),
  2. \(\angle ADC\),
  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) \(63.4^\circ\); (b) \(40.0^\circ\); (c) \(10.4\) cm.

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