Question

    If angle between two sides of 4 cm & 5 cm of a triangle

    is 30°. what is the area of the triangle ?
    A 5 cm² Correct Answer Incorrect Answer
    B 15√3/2 cm² Correct Answer Incorrect Answer
    C 3√3/4 cm² Correct Answer Incorrect Answer
    D 21/2 cm² Correct Answer Incorrect Answer

    Solution

    Area of the triangle = 1/2 X a X b X Sin ɵ  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 ɵ = 1/2 `xx` 4 `xx` 5 `xx` sin 300 = 1/2  X  4   X 5   X   1/2 = 5 cm2

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