Trigonometric Lengths and Area in a Composite Diagram

Trigonometric Lengths and Area in a Composite Diagram

Secondary 2

A figure \(ABCDE\) is made up of three right-angled triangles. Given that \(AB=80\)m, \(AD=58\)m, \(\angle ACB=\angle ADE=90{}^\circ \), \(\angle ABC=70{}^\circ \), \(\angle AED=53{}^\circ \), find

  1. the perimeter,
  2. the area,

of the figure.

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Answer:(i) \(272\text{ m}\) (ii) \(3680\text{ m}^2\)

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