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10 November, 22:02

If a house is 15 meters long and 12 meters wide how long is the diagonal of the house

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Answers (2)
  1. 10 November, 22:53
    0
    19.21m is the diagonal

    Step-by-step explanation:

    We are looking for the diagonal, which makes it the hypotenuse of a right triangle, with the legs being 15 and 12

    We can use the Pythagorean theorem

    a^2 + b^2 = c^2

    12^2 + 15^2 = c^2

    144 + 225 = c^2

    369 = c^2

    Take the square root of each side

    sqrt (369) = sqrt (c^2)

    19.209 = c

    19.21 m = c
  2. 10 November, 23:15
    0
    We can solve for the diagonal using its formula: D = √L² + W²

    D = √15² + 12²

    D = √225 + 144

    D = √369

    D = 19.209 ...

    Round to the nearest hundredth.

    19.209 ... - > 19.21 meters

    Hence, the diagonal of the house is roughly 19.21 meters.

    Best of Luck!
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