Find the coordinate of the third vertex of an equilateral triangle,whose two vertices are (3,4) and (-2,3) ?______________solve this in short using tricks in two to three steps if not solve long ?
1 Answer
The two points are
Explanation:
The two points given are
Step 1
Now as
.
or
or
or
Step 2
also
or
or
or
or
or
Hence
and
or
and the two points are
graph{((x-3)^2+(y-4)^2-0.05)((x+2)^2+(y-3)^2-0.05)((x-1/2-sqrt3/2)^2+(y-7/2+(5sqrt3)/2)^2-0.05)((x-1/2+sqrt3/2)^2+(y-7/2-(5sqrt3)/2)^2-0.05)(5x+y-6)=0 [-9.875, 10.125, -1.64, 8.36]}