IB Geometry and Trigonometry Problem 004

The figure is not to scale.

image essential to understanding the question

The figure shows a pentagon \(ABCDE\), where \(AB = 9.2\,cm, BC = 3.2\,cm, BD = 7.1\,cm, \angle\,AED = 110^\circ, \angle\,ADE = 52^\circ,\) and \(\angle\,ABD = 60^\circ\).

  1. Find \(AD\).
  2. Find \(DE\).
  3. The area of triangle \(BCD\) is \(5.68\,cm^2\). Find \(\angle\,DBC\).
  4. Find \(AC\).
Published by Annie Bernatchez in «Geometry and Trigonometry». Key Words: IB, question