The equation of base of an equilateral triangle is 4x+3y−25=0 and one vertex is origin then the length of the side is

The perpendicular distance from a point Px1,y1 to the line ax+by+c=0 is ax1+by1+ca2+b2 The perpendicular distance from a point (0,0) to the line 4x+3y−25=0 is 40+30−2516+9=255=5 This is height h of the equilateral triangle.  If a be the side of an equilateral triangle, then a=2h3Hence,a=253=1033 Therefore, the length of the side of equilateral triangle is a=1033