How long is the diagonal path

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A rectangular garden is 15 meters long and 12 meters wide. The garden is divided into two equal sections by a diagonal path that runs from one corner to the opposite corner. What is the length of the diagonal path?

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  1. Rithvik12 August 2023 at 08:45

    To find the length of the diagonal path that divides the rectangular garden into two equal sections, you can use the Pythagoras theorem. In a right triangle formed by the length, width, and diagonal, the diagonal is the hypotenuse, and the length and width are the legs of the triangle.

    Let's label the length as 'a' (15 meters), the width as 'b' (12 meters), and the diagonal as 'c'. According to the Pythagoras theorem:

    c^2 = a^2 + b^2

    Substitute the values:

    c^2 = 15^2 + 12^2
    c^2 = 225 + 144
    c^2 = 369

    Now, take the square root of both sides to solve for 'c':

    c = √369
    c ≈ 19.24 meters

    So, the length of the diagonal path is approximately 19.24 meters.

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