Two connected right triangles

Two connected right triangles

Secondary 2
4 marks
TGM Original Questions

Points \(B,K,C\) are collinear. Segments \(AB\) and \(HK\) are perpendicular to \(BC\), while \(A,H,C\) are collinear. Given \(BK=8\) cm, \(KC=15\) cm and \(HK=10\) cm, find

  1. \(\angle ACB\),[2]
  2. \(AB\). [2]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:(a) \(33.7^\circ\) (b) \(46/3\approx15.3\) cm.

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