Neco 2019 Mathematics Question 12

Practice essay / theory question 12 from the 2019 Neco Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco 2019 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO • 2019 • MATHEMATICS • essay

In the coordinate plane, triangle \(ABC\) is positioned such that point \(A\) is at the origin \((0,0)\) and side \(AB\) lies on the positive \(x\)-axis. The given data are: - \(AB = 12\) cm - \(\angle A = 40^{\circ}\) - \(\angle B = 70^{\circ}\) - Point \(D\) lies on side \(BC\) and divides it internally in the ratio \(BD : DC = 1 : 2\). Using this information, answer the following.

Question Parts

( a )

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

( b )

Find the coordinates of point \(D\) on \(BC\) that satisfy \(BD:DC = 1:2\).

( c )

Write the equation of the straight line \(AD\) in the form \(y = mx\).

( d )

Calculate the area of triangle \(ABD\) in square centimetres (to two decimal places).

( e )

Determine the perpendicular distance from point \(D\) to the line \(AC\). Give your answer to two decimal places.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Neco 2019 Mathematics Question 12. It is one of the essay questions from the 2019 Neco Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Neco 2019 Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Chat with Support