SOLUTION: Verify that the points (0,0), (a,0), and (a/2, square root3a/2) are the vertices of an equilateral triangle.

Algebra ->  Triangles -> SOLUTION: Verify that the points (0,0), (a,0), and (a/2, square root3a/2) are the vertices of an equilateral triangle.       Log On


   

Question 393027: Verify that the points (0,0), (a,0), and (a/2, square root3a/2) are the vertices of an equilateral triangle.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Distance from the point (a, 0) to (a/2, %28sqrt%283%29a%29%2F2) is
,
Distance from the point (0, 0) to (a/2, %28sqrt%283%29a%29%2F2) is
.
Hence the sides of the triangle have equal measures, and the triangle is equilateral.