2024 BTYSS P1 Q16

2024 BTYSS P1 Q16

Secondary 4
4 marks

\(X\) is the intersection of the angle bisector of angle \(QRP\) and the perpendicular bisector of \(QR\).

  1. By using construction, find and label \(X\).[3]
  2. Measure the longest possible distance of \(X\) from a vertex of the triangle \(PQR\).[1]

Solution:

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Answer:(a) \(X\) at the intersection of the two constructed bisectors. (b) \(PX\approx7.6\text{ cm}\)

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