SOLUTION: Verify that the points (0,0),(a,0) and (a/2, square root symbol "I don't know how to type it in", with 3a/2 in it, are equilateral triangles. Then show that the midpoints of the th

Question 452054: Verify that the points (0,0),(a,0) and (a/2, square root symbol "I don't know how to type it in", with 3a/2 in it, are equilateral triangles. Then show that the midpoints of the three sides are the vertices of a second equilateral triangle.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

(0,0),(a,0) and (,

use Distance formula
(0,0) and (a,0)

(a,0) and ((a/2),(sqrt((3a)/2))

(0,0) and ((a/2), (sqrt(3)a/2))

So, since they are , this is an triangle.

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