waec model questions vol6 2024 mathematics

Objective • Question 9

Question 9 WAEC_MODEL_QUESTIONS_VOL6 • 2024
In triangle ABC, side a = BC = 14 cm, side b = AC = 13 cm, and angle C = 120°. Find the length of side c = AB and the area of the triangle.
Answer Options
A. c = √529 cm (≈23.00 cm); Area = (84√3)\/2 cm² (≈72.7 cm²)
B. c = √500 cm (≈22.36 cm); Area = (80√3)\/2 cm² (≈69.3 cm²)
C. c = √576 cm (≈24.00 cm); Area = (96√3)\/2 cm² (≈83.1 cm²)
Correct Answer D. c = √547 cm (≈23.38 cm); Area = (91√3)/2 cm² (≈78.8 cm²)
Correct Answer
D
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