The diagram shows a triangular piece of land $PQR$ with the dimensions $PQ=58$ m, $QR=40$ m an

Question

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 $PQ$.

Accepted Answer

(a) Proved: $\angle PRQ=90^\circ$ (b) $840\text{ m}^2$ (c) $29.0\text{ m}$

Applying Pythagoras’ Theorem to a Land Plot

Applying Pythagoras’ Theorem to a Land Plot

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