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    Question

    If the area of a triangle is 363 cm2 and

    base: corresponding altitude is 2:3, 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 Let the base and altitude be 2x and 3x respectively. According to question, ⇒ 1/2 x base × altitude = 363 cm2 or, ⇒ 1/2 x (2x) x (3x) = 363 ⇒ 6x2 = 726 ⇒ x2 = 726/6 ⇒ x2 = 121 ⇒ x = √121 ⇒ x = 11 cm Altitude of a triangle = 3x = 3 × 11 cm = 33 cm

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