SOLUTION: 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. The coordinates of A, B, C, D are 8, -9, 17 and -14 re

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.
The coordinates of A, B, C, D are 8, -9, 17 and -14 respectively. Determine AB, BC, CD, and AD.
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
you are missing some numbers in the set of coordinates looks like
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).
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.
let's find the length of AB for example.
let A = (2,3) which means the x coordinate of A is 2, and the y coordinate of A is 3.
let B = (4,12) which means the x coordinate of B is 4, and the y coordinate of B is 12.
the general formula for finding the length of a line segment is
Z stands for the length of line segment AB in this example.
(x1,y1) stand for the coordinates of A in this example.
(x2,y2) stand for the coordinates of B in this example.
since x1 is 2 and x2 is 4, then (x2-x1) = (4-2) = 2.
since y1 is 3 and y2 is 12 then (y2-y1) = (12-3) = 9.
substituting AB for Z, 2 for (x2-x1), 9 for (y2-y1), we get

which becomes

which becomes
AB = 9.219544457
which becomes 9.22 rounded to the nearest hundredth
you would do the same thing to get the lengths of the other lines as well.
if you wanted to get the length of CD, you would use the coordinates (x1,y1) for C and (x2,y2) for D.
formula would then become
(x1,y1) for C will be a different value then (x1,y1) for A unless A and C intersect at that common point.
(x2,y2) for D will be a different value then (x2,y2) for B unless B and D intersect at that common point.
good luck.

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