In a triangle ABC, \angle A = 30^\circ, AB = 7 cm and AC = 12 cm. What is the area of the triangle ABC?
- A. 21 cm^2 ✓
- B. \frac{21\sqrt{3}}{2} cm^2
- C. 42 cm^2
- D. \frac{42\sqrt{3}}{2} cm^2
Correct Answer: A. 21 cm^2
Explanation
Area of triangle = \frac{1}{2} \times AB \times AC \times \sin(\angle A) = \frac{1}{2} \times 7 \times 12 \times \sin(30^\circ) = 21 cm^2.
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