Question

    In a triangle, the lengths of two sides are 13 cm and 14

    cm, and the included angle between them is 60°. Find the area of the triangle.
    A 84 cm² Correct Answer Incorrect Answer
    B 91√3/2 cm² Correct Answer Incorrect Answer
    C 92 cm² Correct Answer Incorrect Answer
    D 98√3/2 cm² Correct Answer Incorrect Answer

    Solution

    The area of a triangle is given by: Area = 1/2 × a × b × sin(θ) Given: a = 13 cm, b = 14 cm, and θ = 60°. Area = 1/2 × 13 × 14 × sin(60°) Area = 1/2 × 13 × 14 × √3/2 Area = 91√3/2 cm² Correct option: B) 91√3/2 cm²

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