2025 CGS PRELIMS P2 Q4
2025 CGS PRELIMS P2 Q4
Secondary 4
9 marks
In the diagram, the perpendicular from \(B\) to \(AC\) meets \(AC\) produced at \(D\). It is given that \(AC=BC\) and the gradient of \(BC\) is \(-\dfrac34\).
- Find the equation of line \(BC\).[2]
- Find the value of \(n\).[1]
- Show that \(m=-3\).[1]
- Find the area of triangle \(ABC\).[2]
- Hence, find the length of \(BD\).[3]
Solution:
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Answer:(a) \(y=-\frac34x+\frac{35}{4}\) (b) \(n=-1\) (c) \(m=-3\) (d) \(48\text{ units}^2\) (e) \(9.6\text{ units}\)
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