A midpoint in a right triangle

A midpoint in a right triangle

Secondary 2
TGM Original Questions

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. \(\tan\angle ABD\),
  3. the shortest distance from \(A\) to \(BC\).

Solution:

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

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