An extended right triangle with area comparisons
An extended right triangle with area comparisons
Secondary 2
10 marks
TGM Original Questions
Core stretch
In \(\triangle ABD\), \(AB=9\) cm, \(AD=12\) cm and \(BD=15\) cm. Line \(AB\) is produced through \(B\) to \(C\), with \(BC=6\) cm.
- Show \(ABD\) is right-angled.[2]
- Find \(CD\).[2]
- Find area \(ABD\).[2]
- Find the shortest distance from \(A\) to \(BD\).[2]
- Find area \(ABD\) : area \(BCD\).[2]
Solution:
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Answer:(a) right-angled at \(A\) (b) \(3\sqrt{41}\) cm (c) \(54\text{ cm}^2\) (d) \(7.2\) cm (e) \(3:2\).
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