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6 November, 17:35

An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall in inches is the envelope

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  1. 6 November, 18:17
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    The envelop is 15.49 inches tall

    Step-by-step explanation:

    To find how tall the envelop is, we will follow the steps below;

    We can use Pythagoras theorem formula to find the height of the envelop'

    adjacent = width of the envelop = 11 inches opposite = height (h) of the evelope = h and hypotenuse = diagonal of the envelop = 19 inches

    Using Pythagoras theorem;

    opposite² + adjacent² = hypotenuse²

    h² + 11² = 19²

    h² + 121 = 361

    subtract 121 from both-side of the equation

    h² + 121-121 = 361-121

    h² = 240

    Take the square root of both-side

    √h² = √ 240

    h≈15.49 inches

    The envelop is 15.49 inches tall
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