Constructing a triangle and a perpendicular bisector

Constructing a triangle and a perpendicular bisector

Secondary 3
6 marks
TGM Original Questions

Use a ruler and compasses only. Retain all construction arcs.

  1. Construct triangle \(ABC\) with \(AB=6\text{ cm}\), \(AC=5\text{ cm}\) and \(BC=7\text{ cm}\), placing \(C\) above \(AB\).[3]
  2. Construct the perpendicular bisector of \(AB\). Mark its intersection with \(AB\) as \(M\).[2]
  3. Write down \(AM\).[1]

Solution:

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Answer:Correct SSS triangle and perpendicular bisector; \(AM=3\text{ cm}\).

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