Neco 2025 Mathematics Question 13

Practice essay / theory question 13 from the 2025 Neco Mathematics examination. This question covers plane geometry, trigonometry, mensuration .

Neco 2025 Mathematics Essay / Theory

Topics: plane geometry trigonometry mensuration

Question 13 NECO • 2025 • MATHEMATICS • essay

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

( a )

Find the length of side \(AC\).

( b )

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

( c )

Find the length of \(AD\) (to two decimal places).

( d )

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

( e )

Find the length of the altitude from A to BC (to two decimal places) and comment on its relation to the length of AD.

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This is Neco 2025 Mathematics Question 13. It is one of the essay questions from the 2025 Neco Mathematics examination.

The question covers plane geometry, trigonometry, mensuration .

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