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geometry

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The coordinates of the vertices of a triangle are A(1,3), B(6,10), and C(11,18). Find the perimeter of the triangle when the coordinates are multiplied by 3.

  • geometry - ,

    The distance between A and B can be calculated using the distance formula:
    distance(A,B)=sqrt((xb-xa)^2+(yb-ya)^2)
    =sqrt((1-6)^2+(3-10)^2)
    =sqrt(25+49)
    =sqrt(74)
    =8.602 approx.
    You can find similarly the distances BC and CA.

    Add up the sum AB+BC+CA which is the perimeter of the original triangle.
    For the triangle with coordinates 3 times shown, multiply the original perimeter by 3.

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