Neco 2022 Mathematics Question 13

Practice essay / theory question 13 from the 2022 Neco Mathematics examination. This question covers plane geometry, trigonometry, mensuration .

Neco 2022 Mathematics Essay / Theory

Topics: plane geometry trigonometry mensuration

Question 13 NECO • 2022 • MATHEMATICS • essay

In triangle \(ABC\) the following are given: \(\angle A = 40^{\circ}\), \(\angle B = 70^{\circ}\) and side \(AB = 8\) cm. Point \(D\) lies on side \(BC\) such that \(BD:DC = 1:2\).

( a )

Find the length of side \(AC\).

( b )

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

( c )

Point \(D\) divides \(BC\) in the ratio \(BD:DC = 1:2\). Find:

( ) The length of \(AD\) (to two decimal places).

( ) The area of \(\triangle ABC\) (to two decimal places).

( ) The radius of the circumcircle of \(\triangle ABC\) (to two decimal places).

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This is Neco 2022 Mathematics Question 13. It is one of the essay questions from the 2022 Neco Mathematics examination.

The question covers plane geometry, trigonometry, mensuration .

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