Can anybody give me a hint what to do with this since there are no numbers given please.
Let P,Q,R,S are the vertices of a parallelogram. Show, by analytic geometry, that if the diagonals are perpendicular the figure is a rhombus.
thanks
Can anybody give me a hint what to do with this since there are no numbers given please.
Let P,Q,R,S are the vertices of a parallelogram. Show, by analytic geometry, that if the diagonals are perpendicular the figure is a rhombus.
thanks
Plot points at (0,0), (a,0), (b,c) and (a+b,c)
The slope of one diagonal is , and the slope of the other diagonal is .
Since the diagonals are perpendicular,
Solving for yields .
Now use the distance formula to show that two adjacent sides have the same length.