Neco 2025 Mathematics Question 12

Practice essay / theory question 12 from the 2025 Neco Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco 2025 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO • 2025 • MATHEMATICS • essay

In the diagram, \(\triangle ABC\) has side \(AB = 8\) cm, \(\angle A = 40^{\circ}\) and \(\angle B = 70^{\circ}\). Point \(D\) lies on \(BC\) such that \(BD:DC = 1:2\).

Question Parts

( a )

Find the coordinates of point \(C\) (give answers correct to two decimal places).

( b )

i) Determine the coordinates of point \(D\).\nii) Using the coordinates of \(A\) and \(D\), write the equation of line \(AD\) in the form \(y = mx\).

( c )

Calculate (i) the length of the altitude from \(C\) to side \(AB\) and (ii) the area of \(\triangle ABC\). Give the altitude in centimetres and the area in square centimetres, both correct to two decimal places.

( d )

i) A line through \(D\) is drawn parallel to \(AC\) and meets \(AB\) at \(E\). Find the coordinates of \(E\).\nii) Determine the area of quadrilateral \(ABED\). Give the area correct to two decimal places.

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About This Question

This is Neco 2025 Mathematics Question 12. It is one of the essay questions from the 2025 Neco Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Neco 2025 Mathematics Questions More Neco Practice Questions Back to Questions

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