Constructing a triangle and equal-distance point

Constructing a triangle and equal-distance point

Secondary 4
4 marks
TGM Original Questions

Use a ruler and compasses only. Leave all construction arcs visible. Draw the full construction in the working space; measure the stated lengths with your ruler.

  1. Construct \(\triangle ABC\) with \(AB=8.0\) cm, \(AC=6.0\) cm and \(BC=7.0\) cm. Place \(C\) above \(AB\).[2]
  2. Construct the perpendicular bisector of \(AB\).[1]
  3. Mark the point \(P\) on \(BC\) that is equidistant from \(A\) and \(B\).[1]

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Answer:Triangle with sides 8.0, 6.0 and 7.0 cm; P is where BC meets the perpendicular bisector of AB.

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