Unknown lengths in four right-triangle diagrams

Unknown lengths in four right-triangle diagrams

Secondary 2
TGM Original Questions

Find the length of each unknown side, giving all measurements in centimetres.

  1. A right-angled triangle has legs 8 and 15; find hypotenuse \(a\).
  2. In right-angled triangle \(SRQ\), \(SR=16\), \(RQ=12\); find \(SQ=b\). Also \(QP\perp SQ\) and \(SP=29\); find \(QP=g\).
  3. \(DB=24\), \(AB=7\), \(CB=9\); find \(DC=c\) and \(AC=d\).
  4. \(GD=8\), \(DF=17\), \(EF=39\); find \(GF=e\) and \(ED=f\).

Solution:

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Answer:(a) \(17\); (b) \(20,21\); (c) \(15,\sqrt{130}\); (d) \(15,28\) cm.

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