A midpoint in a right triangle

A midpoint in a right triangle

Secondary 2
6 marks
TGM Original Questions

Core stretch

In \(\triangle ABC\), \(D\) is the midpoint of \(AC\), \(BD\perp AC\), \(AB=25\) cm, and \(\sin\angle BAD=3/5\). Find

  1. \(AC\),[2]
  2. \(\tan\angle ABD\),[2]
  3. the shortest distance from \(A\) to the line \(BC\), produced if necessary.[2]

Solution:

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Answer:(a) \(40\) cm (b) \(4/3\) (c) \(24\) cm.

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