If P (-4, k), Q (k, 5), R (2, k) and S (k, 5) are the coordinates of a rectangle, find the value of k. Also find the coordinates
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Please find below the solution to the asked query:
Given : If P (-4, k), Q (k, 5), R (2, k) and S (k, 5) are the coordinates of a rectangle,
We know distance formula : d = ,
Now we find length of PQ , So x1 = - 4 , x2 = k and y1 = k , y2 = 5 , Then ,
PQ =
Now we find length of RS , So x1 = 2 , x2 = k and y1 = k , y2 = 5 , Then ,
RS =
We know opposite sides are equal in length in rectangle , So
PQ = RS , Substitute values we get :
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
Given : If P (-4, k), Q (k, 5), R (2, k) and S (k, 5) are the coordinates of a rectangle,
We know distance formula : d = ,
Now we find length of PQ , So x1 = - 4 , x2 = k and y1 = k , y2 = 5 , Then ,
PQ =
Now we find length of RS , So x1 = 2 , x2 = k and y1 = k , y2 = 5 , Then ,
RS =
We know opposite sides are equal in length in rectangle , So
PQ = RS , Substitute values we get :
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards