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Math Help - Distance Forumla and Polygon HELP!

  1. #1
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    Distance Forumla and Polygon HELP!

    Use the Distance Forumla to find the lengths of the diagonals of a polygon with vertices A(0.3), B(3,3), C(4,1), D(0,-1), and E(-2,1). Please explain this =)
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  2. #2
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    Quote Originally Posted by BlackBeltPyro View Post
    Use the Distance Forumla to find the lengths of the diagonals of a polygon with vertices A(0.3), B(3,3), C(4,1), D(0,-1), and E(-2,1). Please explain this =)
    1. Draw a sketch of the polygon: It is an irregular convex pentagon.

    2. A pentagon has 5 diagonals. The length of two of the 5 diagonals is obvious:

    |AD| = 4 and |CE| = 6

    3. The distance between the points P_1(x_1\ ,\ y_1) and P_2(x_2\ ,\ y_2) is calculated by:

    d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

    4. The length of AC:

    d(AC) = \sqrt{(0 - 4)^2 + (3 - 1)^2} = \sqrt{16+4}=\sqrt{20}=2\sqrt{5}

    5. The last two diagonals are calculated in just the same way. Good luck!
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  3. #3
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    Thank You Very Much Earboth. =)
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