Triangle Construction and Bisectors

Triangle Construction and Bisectors

Secondary 1
  1. Draw and label \(\Delta ABC\) such that \(\angle BAC=48{}^\circ \), \(AB=7.9\) cm and \(AC=4.8\) cm.
  2. Construct the perpendicular bisector of \(AB\).
  3. Construct the bisector of \(\angle ABC\).
  4. Label the intersection point of the perpendicular bisector of \(AB\) and the angle bisector of \(\angle ABC\) as \(M\). Measure the distance \(M\) from \(A\).

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Answer:(a)–(c) Required constructions completed. (d) \(AM\approx4.2\text{ cm}\).

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