Neco 2018 Mathematics Question 9

Practice objective / multiple choice question 9 from the 2018 Neco Mathematics examination.

Neco 2018 Mathematics Objective / Multiple Choice Hard Difficulty
Question 9 NECO • 2018 • MATHEMATICS • objective

In triangle \(ABC\), \(AB = 13\) cm, \(AC = 15\) cm and \(\angle BAC = 60^{\circ}\). The internal angle bisector of \(\angle BAC\) meets side \(BC\) at \(D\). If \(BD = 7\) cm, find (i) the length of \(CD\) and (ii) the length of the bisector \(AD\).

Answer Options

Correct Answer A. CD = \(\frac{105}{13}\) cm, AD = \(\frac{195\sqrt{3}}{28}\) cm
B. CD = \(\frac{105}{13}\) cm, AD = \(\frac{195}{28}\) cm
C. CD = \(\frac{91}{15}\) cm, AD = \(\frac{195\sqrt{3}}{28}\) cm
D. CD = \(\frac{91}{15}\) cm, AD = \(\frac{195}{28}\) cm
Correct Answer
A
Correct Option:
CD = \(\frac{105}{13}\) cm, AD = \(\frac{195\sqrt{3}}{28}\) cm

About This Question

This is Neco 2018 Mathematics Question 9. It is one of the objective questions from the 2018 Neco Mathematics examination.

Difficulty level: Hard .

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