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    5. If angle between two sides of 3 cm & 2 cm of a triangle is 30°. what is the area of the triangle ?

    Question

    If angle between two sides of 3 cm & 2 cm of a triangle

    is 30°. what is the area of the triangle ?
    A 3 cm² Correct Answer Incorrect Answer
    B 3/√2 cm² Correct Answer Incorrect Answer
    C 5√3/2 cm² Correct Answer Incorrect Answer
    D 3/2 cm² Correct Answer Incorrect Answer

    Solution

    Area of the triangle = 1/2 X a X b X Sin θ  where ɵ is the angle between two sided a & b of the triangle; So Area of the triangle  = 1/2 X a X b X Sin θ    = 1/2 X a X b X sin 300 = 1/2 X 3 X 2 X 1/2 = 3/2 cm2

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