Question

The equation of the base of a n equilateral triangle is x+y=2 and the vertex is (2,-1). Find the length of the side of the triangle.

Answer 1

the height of triangle is length of perpendicular drawn from vertex= (2-1-2)/√2^2+(-1)^2= 1/√5
side of triangle= 2/√3x1/√5=2/√15