How to find Length and Breadth of a Rectangle represented by co-ordinates?
example:rectang le represented by (a,b) (c,d) (e,f) (g,h)
4  3113  Dormilich 8,658
Recognized Expert Moderator Expert
you can do it vector-like by computing the absolute of adjacent points - x = | ⎛a⎞ – ⎛c⎞ |
-
| ⎝b⎠ ⎝d⎠ |
-
-
// x, =, – should be in the middle
hi Dormilich,
can you please explain your solution a bit.
Thanks,
Sekhar
jkmyoung 2,057
Recognized Expert Top Contributor
Find the length of (a,b) to (c,d)
Find the length of (c,d) to (e,f)
One is the length and the second is the breadth
Glenton 391
Recognized Expert Contributor
Do you know whether the points are in order? (a,b) to (c,d) might be a diagonal?
Do you know whether the points are, in fact, a rectangle?
If you know that it's a rectangle, but don't know what order the points are in, you could find three lengths from (a,b) to the other three points
{hint: length = sqrt((a-c)^2+(b-d)^2)}
and then the shortest is the breadth, the middle is the length and the longest is the diagonal.
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