Subject

    Bank Exam

    Topic

    বাংলাদেশ ব্যাংক (সহকারী পরিচালক) - ২০.১০.২০২৩

    If 3 sides of a triangle are 6 cm, 8 cm, and 10 cm, then the altitude of the triangle, using the largest side as its base, will be -

    ক)
    4.8 cm
    খ)
    4.4 cm
    গ)
    6 cm
    ঘ)
    8 cm

    Explanation

    Semi perimeter of the triangle is, S = (6 + 8 + 10)/2 = 12 cm Area of the triangle is = √{s(s - a)(s - b)(s - c)} = √{12(12 - 6) (12 - 8) (12 - 10) = √(12 × 6 × 4 × 2) = √576 = 24 sq. cm Area of the triangle = (1/2) × base x height ⇒ 24 = (1/2) × b × h ⇒ b × h = 48 ⇒ h = 48/b ⇒ h = 48/10 ∴ h = 4.8 cm

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