Equal distances and equal chords

Equal distances and equal chords

Secondary 4
4 marks
TGM Original Questions

Chords \(AB\) and \(CD\) lie in the same circle of radius 13 cm and centre \(O\). The perpendiculars \(OM\) and \(ON\) meet the chords at \(M\) and \(N\). Both perpendicular distances are 5 cm.

  1. Calculate \(AB\).[3]
  2. State \(CD\), giving a reason.[1]

Solution:

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Answer:(a) \(24\) cm (b) \(24\) cm; equal perpendicular distances

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