Posted by **Luke Phillips** on Sunday, August 21, 2011 at 3:08pm.

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 -
**MathMate**, Sunday, August 21, 2011 at 3:52pm
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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