Unknown lengths

Unknown lengths

Secondary 2
3 marks
TGM Original Questions

\(DB=24\), \(AB=7\), \(CB=9\); find \(DC=c\) and \(AC=d\). Points \(D,C,B\) lie on a straight line and \(AB\perp DB\).[3]

All lengths are in centimetres. Give non-exact answers to 3 significant figures unless an exact value is requested.

Solution:

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Answer:\(c=15\text{ cm},\ d=\sqrt{130}\approx11.4\text{ cm}\) (3 s.f.).

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