Coordinate Geometry: Triangle Side Calculations and Conclusion

Coordinate Geometry: Triangle Side Calculations and Conclusion

Secondary 3

Triangle \(PQR\) has vertices \(P\left( 1,1 \right)\), \(Q\left( 3,2 \right)\) and \(R\left( 2,4 \right)\).

  1. Calculate the length of \(PQ\), \(QR\) and \(PR\), giving your answers correct to \(3\) significant figures.
  2. What can you conclude about triangle \(PQR\)? Explain.

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Answer:(i) \(PQ=2.24\) units, \(QR=2.24\) units, \(PR=3.16\) units (ii) Triangle \(PQR\) is a right angled triangle

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