Gce Model Questions Vol1 2017 Mathematics Question 29

Practice objective / multiple choice question 29 from the 2017 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 29 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

In triangle \(ABC\), \(AB = 7\) cm, \(AC = 9\) cm and \(\angle BAC = 60^{\circ}\).\n\n(a) The internal bisector of \(\angle BAC\) meets side \(BC\) at \(D\). Find the length \(BD\).\n\n(b) Find the radius of the incircle of triangle \(ABC\). Give your answers in exact surd form.

Answer Options

A. BD = \frac{7\sqrt{67}}{14}\;\text{cm},\; r = \frac{63\sqrt{3}}{2(14+\sqrt{67})}\;\text{cm}
Correct Answer B. BD = \frac{7\sqrt{67}}{16}\;\text{cm},\; r = \frac{63\sqrt{3}}{2(16+\sqrt{67})}\;\text{cm}
C. BD = \frac{7\sqrt{67}}{16}\;\text{cm},\; r = \frac{63\sqrt{3}}{2(16-\sqrt{67})}\;\text{cm}
D. BD = \frac{7\sqrt{61}}{16}\;\text{cm},\; r = \frac{63\sqrt{3}}{2(16+\sqrt{61})}\;\text{cm}
Correct Answer
B
Correct Option:
BD = \frac{7\sqrt{67}}{16}\;\text{cm},\; r = \frac{63\sqrt{3}}{2(16+\sqrt{67})}\;\text{cm}

About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 29. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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