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A wire 112 cm long is …

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A wire 112 cm long is bent to form a right-angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.

    • Posted by Subasree Dhanasekaran 5 years, 2 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 2 months ago

    Let the other 2 sides be x, y
    Length of hypotenuse = 50 cm
    Total length =112cm
    x + y +50 =112
    x + y =112 - 50
    x + y = 62
    By pythagorous theorem
    x² + y² = 50²
    x² + y² = 2500
    (x + y)² - 2xy = 2500
    -2xy = 2500 - 3844
    = - 1344
    xy = 1344/2
    = 672
    Area of triangle = 1/2xy
    = 1/2*672
    = 336
    Therefore, area of the triangle = 336cm²

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