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16 May, 22:16

The perimeter of a scalene triangle is 14.5cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2cm

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  1. 16 May, 23:30
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    See basic equations.

    Step-by-step explanation:

    Let x = the shortest side

    Let 2x = the longest side.

    Let y = the medium sized side.

    Basic Equation

    y + x + 2x = 14.5

    or

    y + 3x = 14.5

    Comment

    This almost looks like it needs more information because you are not entirely certain what you are looking for. You have not asked for a complete solution. About all you can do is solve for x and y and see if you really do have a triangle.

    y + x + 2x + 14.5

    2x = 6.2 Given. Divide by 2

    x = 6.2/2 = 3.1

    x + 2x + y = 14.5 Substitute values

    3.1 + 6.2 + y = 14.5 Combine like terms

    9.3 + y = 14.6 Subtract 9.3 from both sides

    y = 14.6 - 9.3 Combine

    y = 5.3

    Yes you do have a triangle. any 2 sides is larger than the 3rd.

    I don't know what to put as the answer however.
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