Exact value in nested right triangles

Exact value in nested right triangles

Secondary 2
TGM Original Questions

In right-angled triangle \(PQR\), \(\angle PQR=90^\circ\), \(PR=13\) cm, \(QS=5\) cm and \(SR=3\) cm. If \(PS=x\), calculate

  1. the exact value of \(x^2\),
  2. the area of \(\triangle PRS\).

Solution:

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Answer:(a) \(130\); (b) \(3\sqrt{105}/2\text{ cm}^2\).

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