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Question 720878: please help me with this question:
one vertex of a rectangle is (5,1); the diagonals intersect at (1,4); and one side has slope 1/2
A.other three vertices
B.dimension of the rectangle
C.Area of the rectangle
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! One way to develop information about this problem is that starting from the one given vertex, (5,1), two lines intersect there. One line as given will have slope 1/2, and the other line will necessarily have, because this is vertex of a rectangle, slope -(2/1). ANOTHER two lines will intersect in the same way, at the point opposite the given vertex.
A way to find the vertex opposite of (5,1) is to extend on graph paper, beginning at (5,1), going to the diagonal's intersection (1,4), and then going the same length and then reading the coordinates of that result. That should be at (5-4-4,1+3+3), or (-3, 7).
You can probably pick the suitable rectangle just by using points and slopes on graph paper.
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