A triangle with two perpendiculars

A triangle with two perpendiculars

Secondary 2
6 marks
TGM Original Questions

Core stretch

Points \(A,B,D\) are collinear, with \(AB=36\) cm and \(BD=27\) cm. Also \(CD\perp AD\), \(BC=45\) cm, and \(E\) lies on \(AC\) with \(BE\perp AC\). Find

  1. \(\angle ABC\),[2]
  2. the area of \(\triangle ABC\),[2]
  3. \(BE\).

    [2]

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

Solution:

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Answer:(a) \(126.9^\circ\) (b) \(648\text{ cm}^2\) (c) \(17.9\) cm.

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