SOLUTION: the side of an equilateral triangle is x . its area is ___________ its perimeter is ___________ ___

SOLUTION: the side of an equilateral triangle is x . its area is _____ its perimeter is _ .

Question 574820: the side of an equilateral triangle is x . its area is ___________ its perimeter is ________________.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Several ways to find the area. You can construct an altitude from one vertex to the opposite side, use 30-60-90 triangles, et cetera. For simplicity, I would use the area formula

where C is the included angle between sides a and b. This becomes

sin 60 = sqrt(3)/2, so

Perimeter of the same triangle is just x+x+x, or 3x.
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SOLUTION: the side of an equilateral triangle is x . its area is ___________ its perimeter is ___________ ____.

SOLUTION: the side of an equilateral triangle is x . its area is _____ its perimeter is _ .