Neco 2020 Mathematics Question 13

Practice essay / theory question 13 from the 2020 Neco Mathematics examination. This question covers Plane Geometry, Triangle, Angle Bisector, Area, Incircle .

Neco 2020 Mathematics Essay / Theory
Topics: Plane Geometry Triangle Angle Bisector Area Incircle
Question 13 NECO • 2020 • MATHEMATICS • essay

In triangle \(ABC\), \(AB = 12\) cm, \(AC = 15\) cm and \(\angle BAC = 60^{\circ}\). The internal bisector of \(\angle BAC\) meets side \(BC\) at \(D\). From \(D\) a perpendicular is drawn to side \(AB\) meeting it at \(E\).

Question Parts

( a )
Find the length of side \(BC\).
( b )
Using the angle‑bisector theorem, determine the length of \(BD\).
( c )
Calculate the area of triangle \(ADE\).
( d )
Find the radius of the incircle of triangle \(ABC\).

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About This Question

This is Neco 2020 Mathematics Question 13. It is one of the essay questions from the 2020 Neco Mathematics examination.

The question covers Plane Geometry, Triangle, Angle Bisector, Area, Incircle .

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