An oblique triangle from two sides and one angle

An oblique triangle from two sides and one angle

Secondary 2
8 marks
TGM Original Questions

Core stretch

In triangle \(PQR\), \(PQ=12.5\) cm, \(PR=18\) cm and \(\angle PQR=40^\circ\). The perpendicular from \(P\) meets \(QR\) at \(H\), which lies between \(Q\) and \(R\).

Diagram not drawn to scale. Give lengths and areas correct to 3 significant figures, and angles correct to 1 decimal place.

  1. Find \(PH\).[2]
  2. Find \(\angle PRQ\).[2]
  3. Find the area of triangle \(PQR\).[4]

Solution:

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Answer:(a) \(8.03\) cm (b) \(26.5^\circ\) (c) \(103\text{ cm}^2\)

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