A diameter and similar right triangles

A diameter and similar right triangles

Secondary 2
TGM Original Questions

\(AC\) is a diameter of a circle with centre \(D\) and radius 6 cm. Point \(B\) lies on the circle, \(E\) lies on \(BC\), \(DE=4.5\) cm, and \(DE\perp AC\). Also \(\angle ABC=90^\circ\). Find

  1. \(\angle ACB\) to 1 decimal place,
  2. \(AB\) to 3 significant figures,
  3. one pair of similar triangles,
  4. \(AB/BC\).

Solution:

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Answer:(a) \(36.9^\circ\); (b) \(7.20\) cm; (c) \(\triangle ABC\sim\triangle EDC\); (d) \(3/4\).

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