Applying Pythagoras’ Theorem to a Land Plot
Applying Pythagoras’ Theorem to a Land Plot
TGM Original
The diagram shows a triangular piece of land \(PQR\) with the dimensions \(PQ=58\) m, \(QR=40\) m and \(RP=42\) m.
- Prove that triangle \(PQR\) is a right-angled triangle.
- Find the area of the piece of land.
- Find the shortest distance from \(R\) to \(PQ\).
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Answer:(a) Proved: \(\angle PRQ=90^\circ\) (b) \(840\text{ m}^2\) (c) \(29.0\text{ m}\)
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