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      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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