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The diagonal of rectangular fiels is …

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The diagonal of rectangular fiels is 60 Metres more than the shoter side. If the longer side is 30 metres More than the ahoter side , find the side of the field.

    • Posted by Shruti Tripathi 5 years, 2 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Riya Philip 5 years, 2 months ago

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    Yogita Ingle 5 years, 2 months ago

    Let the length of the shorter side be x metres. 

    The length of the diagonal= 60+x metres

    The length of the longer side =30+x metres

    Applying Pythagoras theorem, 

    Diagonal²=longer side²+shorter side²

    (60+x) ²= (30+x) ² + x²

    3600+120x+x²=900+60x+x²+x²

    2700+60x-x²=0

    2700+90x-30x-x²=0

    90(30+x)-x(30+x) =0

    X=90, 

    Shorter side is 90m,  longer side is 90+30=120m

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