if a square had a perimeter of 20cm, find the length of the diagonal. round to the nearest tenth.

Question

if a square had a perimeter of 20cm, find the length of the diagonal. round to the nearest tenth.

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Amaya 2 weeks 2021-09-07T19:43:29+00:00 1 Answer 0

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    2021-09-07T19:45:03+00:00

    Answer:

    The lenght of the diagonal is 7.1cm

    Step-by-step explanation:

    First we have to calculate how much each side of the square measures

    p = perimeter = 20cm

    s = side

    p = 4 * s

    we replace with the known values

    20cm = 4 * s

    20cm / 4 = s

    5cm = s

    Each side of the square measures 5cm

    To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

    h = hypotenuse

    a = leg 1 = 5cm

    b = leg 2 = 5cm

    h² = a² + b²

    we replace the known values

    h² = (5cm)² + (5cm)²

    h² = 25cm² + 25cm²

    h² = 50cm²

    h = √(50cm²)

    h = 7.07cm

    Round to the nearest tenth

    h = 7.07cm  = 7.1cm

    The length of the hypotenuse is 7.1cm

    The hypotenuse of the triangle is the diagonal of the square

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45:7+7-4:2-5:5*4+35:2 =? ( )