SOLUTION: prove that the three points A(-5,0) B(3,0) and C(-1, 4√3) are the vertices of an equilateral triangle

Algebra ->  Length-and-distance -> SOLUTION: prove that the three points A(-5,0) B(3,0) and C(-1, 4√3) are the vertices of an equilateral triangle       Log On


   

Question 756615: prove that the three points A(-5,0) B(3,0) and C(-1, 4√3) are the vertices of an equilateral triangle

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
prove that the three points A(-5,0) B(3,0) and C(-1, 4√3) are the vertices of an equilateral triangle
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A:
Using distance formula:
AB = sqrt%28%280+-+0%29%5E2+%2B+%283+-+%28-5%29%29%5E2%29 = 8
AC = sqrt%28%284sqrt%283%29+-+0%29%5E2+%2B+%28-1+-+%28-5%29%29%5E2%29 = 8
BC = sqrt%28%284sqrt%283%29+-+0%29%5E2+%2B+%28-1+-+3%29%5E2%29 = 8
All three sides are equal, therefore A, B, and C are the vertices of an equilateral triangle. ■