A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?

Question

A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?

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Nho 3 days 2021-07-19T02:10:11+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-19T02:11:46+00:00

    Answer:

    It’s 34 cm

    Step-by-step explanation:

    Width of a rectangle = 5 cm

    Diagonal of a rectangle = 13 cm

    By Pythagoras Theorem,

    Length of a rectangle = √(13² – 5²)

    Or, Length of a rectangle = √(169 – 25)

    Or, Length of a rectangle = √144

    Or, Length of a rectangle = 12 cm

    Perimeter of a rectangle = 2(12+5)

    Or, Perimeter of a rectangle = 2×17

    Or, Perimeter of a rectangle = 34 cm

    Therefore, the perimeter of a rectangle = 34 cm

    0
    2021-07-19T02:11:51+00:00

    Answer:

    Length = 12 cm

    Step-by-step explanation:

    using the Pythagorean theorem:

    Length² = 13² – 5² = 169 – 25 = 144

    Length = √144 m= 12 cm

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