Neco 2019 Mathematics Question 13

Practice essay / theory question 13 from the 2019 Neco Mathematics examination. This question covers plane geometry, trigonometry, similar triangles, properties of right‑angled triangles .

Neco 2019 Mathematics Essay / Theory

Topics: plane geometry trigonometry similar triangles properties of right‑angled triangles

Question 13 NECO • 2019 • MATHEMATICS • essay

In triangle ABC, \(\angle A = 40^{\circ}\), \(\angle B = 70^{\circ}\) and side \(AB = 10\) cm. Let \(D\) be the foot of the perpendicular from \(A\) to side \(BC\). Let \(E\) be the midpoint of side \(AB\).

Question Parts

( a )

Calculate the length of side \(BC\).

( b )

Determine the length of the altitude \(AD\).

( c )

Find the lengths of \(BD\) and \(DC\).

( d )

Show that \(DE = 5\) cm.

( e )

Find the area of triangle \(ADE\). Give your answer in exact form and also to two decimal places (cm\(^2\)).

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About This Question

This is Neco 2019 Mathematics Question 13. It is one of the essay questions from the 2019 Neco Mathematics examination.

The question covers plane geometry, trigonometry, similar triangles, properties of right‑angled triangles .

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