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    Question

    If the area of a triangle is 1350 cm2 and

    base: corresponding altitude is 3:4, then the altitude of the triangle is:
    A 33 cm Correct Answer Incorrect Answer
    B 75 cm Correct Answer Incorrect Answer
    C 60 cm Correct Answer Incorrect Answer
    D 36 cm Correct Answer Incorrect Answer

    Solution

    Using the formula, Area of the triangle = 1/2 x base x height ┬а Let the base and altitude be 3x and 4x respectively. According to question, тЗТ 1/2 x base ├Ч altitude = 1350 cm2 or, тЗТ 1/2 x (3x) x (4x) = 1350 тЗТ 12x2 = 2700 тЗТ x2 = 2700/12 тЗТ x2 = 225 тЗТ x = тИЪ225 тЗТ x = 15 cm Altitude of a triangle = 4x = 4 ├Ч 15 cm = 60 cm

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