Adjacent right triangles and a second altitude

Adjacent right triangles and a second altitude

Secondary 2
4 marks
TGM Original Questions

Points \(A,C,D\) are collinear and \(BC\perp AD\). Given \(AB=25\) cm, \(AC=7\) cm and \(CD=24\) cm:

  1. find \(BC=x\) and \(BD=y\)[2]
  2. find the perpendicular distance from \(A\) to \(BD\).[2]

Solution:

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Answer:(a) \(x=24\) cm, \(y=24\sqrt2\) cm (b) \(31/\sqrt2\approx21.9\) cm.

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