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    The area of right-angled triangle is 182 sq cm. If the ratio of base to height is 7: 13, then find height of the triangle.
    Question


    The area of right-angled triangle is 182 sq cm. If the ratio of base to height is 7: 13, then find height of the triangle.

    A.

    39 cm

    B.

    42 cm

    C.

    65 cm

    D.

    55 cm

    E.

    26 cm

    Correct option is E

    Area = ½ ×base×height
    Let the base and height be 7x and 13x respectively
    ATQ,
    ½ ×7x×13x=182
    x = 2
    Required height = 13 × 2 = 26 cm

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