Neco 2020 Mathematics Question 12

Practice essay / theory question 12 from the 2020 Neco Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco 2020 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO • 2020 • MATHEMATICS • essay

In the Cartesian plane, triangle \(ABC\) is positioned as follows: point \(A\) is at the origin \((0,0)\) and side \(AB\) lies on the positive x‑axis with length \(AB = 8\) cm. The interior angles at \(A\) and \(B\) are \(40^{\circ}\) and \(60^{\circ}\) respectively.

Question Parts

( a )

Determine the exact coordinates of point \(C\).

( b )

Write the equation of the line through \(C\) that is perpendicular to \(AB\).

( c )

Find the area of triangle \(ABC\) in square centimetres.

( d )

A point \(D\) lies on \(BC\) such that \(BD : DC = 1 : 2\). Determine the coordinates of \(D\) and the length \(AD\) (to two decimal places).

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About This Question

This is Neco 2020 Mathematics Question 12. It is one of the essay questions from the 2020 Neco Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Neco 2020 Mathematics Questions More Neco Practice Questions Back to Questions

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