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two points p and q are on the same side of line l .pr is perpendicular to l and qs is perpendicular to l and m is midpoint of pq ,then sow that RM = SM?pls help me with the  que by giving suitable explanation! thank u !

B.V.Suhas Sudheendhra
43 Points
9 years ago

Its very simple,

since m is the midpoint PM=QM

Lets consider the line to be x axis, for making it simple.

the perpendiculars of P and Q on this line denote the x coordinates of P and Q respectively.

similarly the coordinates of M on this line would be exactly in between R and S as M is given by (x1+x2)/2

as given from figure the triangle formed by MSR is isosceles triangle. so RM=SM