Neco 2017 Mathematics Question 10

Practice objective / multiple choice question 10 from the 2017 Neco Mathematics examination.

Neco 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 10 NECO • 2017 • MATHEMATICS • objective

In triangle \(ABC\) the side \(c = AB\) measures \(13\ \text{cm}\) and the altitude from \(C\) to \(AB\) meets \(AB\) at \(D\) such that \(AD = 5\ \text{cm}\). If \(\angle C = 60^{\circ}\), find the lengths of sides \(a = BC\) and \(b = AC\) and the area of the triangle (express the area in simplest radical form).

Answer Options

A. a \\approx 14.2\\,cm,\\ b \\approx 11.5\\,cm,\\ \\text{area} \\approx 73.5\\,cm^{2}
B. a \\approx 12.5\\,cm,\\ b \\approx 13.0\\,cm,\\ \\text{area} \\approx 70.0\\,cm^{2}
C. a \\approx 13.0\\,cm,\\ b \\approx 12.5\\,cm,\\ \\text{area} \\approx 71.2\\,cm^{2}
Correct Answer D. a \approx 13.68\,cm,\ b \approx 12.18\,cm,\ \text{area} \approx 72.1\,cm^{2}
Correct Answer
D
Correct Option:
a \approx 13.68\,cm,\ b \approx 12.18\,cm,\ \text{area} \approx 72.1\,cm^{2}

About This Question

This is Neco 2017 Mathematics Question 10. It is one of the objective questions from the 2017 Neco Mathematics examination.

Difficulty level: Hard .

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