Neco 2022 Mathematics Question 44

Practice objective / multiple choice question 44 from the 2022 Neco Mathematics examination.

Neco 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 44 NECO • 2022 • MATHEMATICS • objective

In triangle \(ABC\), \(AB = 8\) cm, \(AC = 6\) cm and \(\angle BAC = 60^{\circ}\). Let \(D\) be the foot of the altitude from \(A\) to side \(BC\). (i) Find the length of side \(BC\). (ii) Find the length of altitude \(AD\). (iii) Find the radius of the circle circumscribed about triangle \(ABD\).

Answer Options

Correct Answer A. BC = 2\sqrt{13}\text{ cm} (≈7.21 cm); AD = 12\sqrt{\frac{3}{13}}\text{ cm} (≈5.77 cm); circumradius = 4\text{ cm}
B. BC = 2\\sqrt{15}\\text{ cm} (≈7.75 cm); AD = 12\\sqrt{\\frac{2}{13}}\\text{ cm} (≈6.30 cm); circumradius = 5\\text{ cm}
C. BC = 4\\sqrt{13}\\text{ cm} (≈14.42 cm); AD = 6\\sqrt{\\frac{3}{13}}\\text{ cm} (≈2.89 cm); circumradius = 3\\text{ cm}
D. BC = \\sqrt{52}\\text{ cm} (≈7.21 cm); AD = 8\\sqrt{\\frac{3}{13}}\\text{ cm} (≈3.85 cm); circumradius = 6\\text{ cm}
Correct Answer
A
Correct Option:
BC = 2\sqrt{13}\text{ cm} (≈7.21 cm); AD = 12\sqrt{\frac{3}{13}}\text{ cm} (≈5.77 cm); circumradius = 4\text{ cm}

About This Question

This is Neco 2022 Mathematics Question 44. It is one of the objective questions from the 2022 Neco Mathematics examination.

Difficulty level: Hard .

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