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19 November, 09:50

The diagonal of a tv is 39 inches. it's length is 21inches more than the height. find the dem

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  1. 19 November, 10:17
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    H² + l² = 39²

    h² + (h+21) ² = 39²

    h² + h² + 42h + 441 = 1521

    2h² + 42h + 441 - 1521 = 0

    2h² + 42h - 1080 = 0

    h² + 21h - 540 = 0

    h² + 36h - 15h - 540 = 0

    h (h+36) - 15 (h+36) = 0

    (h+36) (h-15) = 0

    h = 15inch

    l = 15+21 = 36 inch
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