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

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

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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) (Show Source): You can put this solution on YOUR website!
Distance from the point (a, 0) to (a/2, ) is
,
Distance from the point (0, 0) to (a/2, ) is
.
Hence the sides of the triangle have equal measures, and the triangle is equilateral.
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