Neco 2018 Mathematics Question 13

Practice essay / theory question 13 from the 2018 Neco Mathematics examination. This question covers plane geometry, trigonometry, mensuration .

Neco 2018 Mathematics Essay / Theory

Topics: plane geometry trigonometry mensuration

Question 13 NECO • 2018 • MATHEMATICS • essay

In triangle \(ABC\) the side \(AB = 12\) cm, \(\angle A = 40^{\circ}\) and \(\angle B = 70^{\circ}\). Point \(D\) lies on side \(BC\) such that \(BD : DC = 1 : 2\). The labelled diagram of the triangle is provided.

( a )

Find the measure of \(\angle C\).

( b )

Calculate the length of side \(BC\) (give your answer to two decimal places).

( c )

Find the area of \(\triangle ABC\) (give your answer to one decimal place).

( d )

Point \(D\) divides \(BC\) in the ratio \(1:2\). Determine the length of \(AD\) (give your answer to two decimal places).

( e )

Find the radius \(R\) of the circumcircle of \(\triangle ABC\) (give your answer to two decimal places).

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This is Neco 2018 Mathematics Question 13. It is one of the essay questions from the 2018 Neco Mathematics examination.

The question covers plane geometry, trigonometry, mensuration .

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