A trapezium with an internal sight line
A trapezium with an internal sight line
Secondary 2
6 marks
TGM Original Questions
Core stretch
In trapezium \(ABCD\), \(AB\parallel DC\), \(AB=5\) cm, \(DC=8\) cm, \(AD=6\) cm and \(AD\perp DC\). Point \(E\) lies on \(DC\), with \(\angle EAD=35^\circ\). Find
- the area of \(ABCD\),[2]
- \(\angle ACD\),[2]
- \(AE\). [2]
Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.
Solution:
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Answer:(a) \(39\text{ cm}^2\) (b) \(36.9^\circ\) (c) \(7.32\) cm.
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