Answered

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Use structure find the perimeter of equilateral triangle klm given the vertices k(-2, 1) and m(10, 6).

Sagot :

Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

As given in the question,

Coordinates of vertices K(-2,1) and M(10,6)

KM = [tex]\sqrt{ (10-(-2)^{2} +(6-1)^{2} }[/tex]

      = [tex]\sqrt{12^{2}+5^{2} }[/tex]

      = 13units

In equilateral triangle  KL = LM = KM = 13 units

Perimeter of equilateral triangle KLM = 13 +13 +13

                                                           = 39 units

Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

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