document.write( "Question 158186: Can you help me figure this out. I am trying to help my daughter learn some of this and have lost most of what I learned.\r
\n" ); document.write( "\n" ); document.write( "The coordinates of A, B, C, D are 8, -9, 17 and -14 respectively. Determine AB, BC, CD, and AD. \n" ); document.write( "
Algebra.Com's Answer #116566 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
you are missing some numbers in the set of coordinates looks like
\n" ); document.write( "if you are placing these on a graph, then the coordinates are displayed as pairs of x coordinates and y coordinates in the form of (x,y).
\n" ); document.write( "so the coordinates should be shown in the form of (x,y) where x is the x coordinate and y is the y coordinate for the point.
\n" ); document.write( "let's find the length of AB for example.
\n" ); document.write( "let A = (2,3) which means the x coordinate of A is 2, and the y coordinate of A is 3.
\n" ); document.write( "let B = (4,12) which means the x coordinate of B is 4, and the y coordinate of B is 12.
\n" ); document.write( "the general formula for finding the length of a line segment is \"Z+=+sqrt%28%28x2-x1%29%5E2%2B%28y2-y2%29%5E2%29\"
\n" ); document.write( "Z stands for the length of line segment AB in this example.
\n" ); document.write( "(x1,y1) stand for the coordinates of A in this example.
\n" ); document.write( "(x2,y2) stand for the coordinates of B in this example.
\n" ); document.write( "since x1 is 2 and x2 is 4, then (x2-x1) = (4-2) = 2.
\n" ); document.write( "since y1 is 3 and y2 is 12 then (y2-y1) = (12-3) = 9.
\n" ); document.write( "substituting AB for Z, 2 for (x2-x1), 9 for (y2-y1), we get
\n" ); document.write( "\"AB+=+sqrt%282%5E2%2B9%5E2%29\"
\n" ); document.write( "which becomes
\n" ); document.write( "\"AB+=+sqrt%284%2B81%29\"
\n" ); document.write( "which becomes
\n" ); document.write( "\"AB+=+sqrt%2885%29\"
\n" ); document.write( "which becomes
\n" ); document.write( "AB = 9.219544457
\n" ); document.write( "which becomes 9.22 rounded to the nearest hundredth
\n" ); document.write( "you would do the same thing to get the lengths of the other lines as well.
\n" ); document.write( "if you wanted to get the length of CD, you would use the coordinates (x1,y1) for C and (x2,y2) for D.
\n" ); document.write( "formula would then become \"CD+=+sqrt+%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"
\n" ); document.write( "(x1,y1) for C will be a different value then (x1,y1) for A unless A and C intersect at that common point.
\n" ); document.write( "(x2,y2) for D will be a different value then (x2,y2) for B unless B and D intersect at that common point.
\n" ); document.write( "good luck.
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