Perpendicular drops in a compound figure

Perpendicular drops in a compound figure

Secondary 2
TGM Original Questions

Points \(A,B,D\) are collinear and points \(A,P,C\) are collinear. Also \(BP\perp AC\) and \(BC\perp CD\). Given \(AB=17\) cm, \(AP=15\) cm and \(BC=17\) cm, find

  1. \(BP\),
  2. \(\angle CBD=x\),
  3. \(AD\). 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) \(8\) cm; (b) \(56.1^\circ\); (c) \(47.5\) cm.

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