Neco 2022 Mathematics Question 12

Practice essay / theory question 12 from the 2022 Neco Mathematics examination. This question covers coordinate geometry .

Neco 2022 Mathematics Essay / Theory

Topic: coordinate geometry

Question 12 NECO • 2022 • MATHEMATICS • essay

In the diagram, triangle ABC is shown. \(\angle A = 40^{\circ}\), \(\angle B = 70^{\circ}\) and side \(AB = 8\) cm.

Question Parts

( a )

Place point \(A\) at the origin \((0,0)\) and side \(AB\) on the positive \(x\)-axis. Determine the coordinates of point \(C\) (to two decimal places).

( b )

Using the coordinates found in part (a), calculate the length of the altitude from \(C\) to side \(AB\).

( c )

Find the area of triangle \(ABC\) using coordinate geometry and verify that it equals the area obtained from the formula \(\frac12 ab\sin C\).

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About This Question

This is Neco 2022 Mathematics Question 12. It is one of the essay questions from the 2022 Neco Mathematics examination.

The question covers coordinate geometry .

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