Neco 2024 Mathematics Question 12

Practice essay / theory question 12 from the 2024 Neco Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco 2024 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO • 2024 • MATHEMATICS • essay

In the diagram, triangle \(ABC\) is shown with side \(AB = 10\) cm. The interior angles at vertices \(A\) and \(B\) are \(40^{\circ}\) and \(70^{\circ}\) respectively. The triangle is positioned so that side \(AB\) lies on the \(x\)-axis with \(A\) at the origin.

Question Parts

( a )

Determine the coordinates of vertex \(C\) (give answers correct to two decimal places).

( b )

Find the equation of the line \(AC\) in the form \(y = mx\) (give the slope \(m\) correct to three decimal places).

( c )

Using coordinate geometry, compute the area of \(\triangle ABC\) (give the answer to two decimal places).

( d )

Find the distance from vertex \(C\) to the midpoint of \(AB\) (give the answer to two decimal places).

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About This Question

This is Neco 2024 Mathematics Question 12. It is one of the essay questions from the 2024 Neco Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Neco 2024 Mathematics Questions More Neco Practice Questions Back to Questions

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