SOLUTION: The area of an equilateral triangle is 49 times the square root of 3. Compute the perimeter of this triangle.
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Question 935685: The area of an equilateral triangle is 49 times the square root of 3. Compute the perimeter of this triangle. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The area of an equilateral triangle is 49 times the square root of 3. Compute the perimeter of this triangle.
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let x=side of equalateral triangle
let h=height
3x=perimeter
..
by pythagorean theorem:
h=√(x^2-(x/2)^2)=√(x^2-x^2/4)=√(3x^2/4)=√3x/2
Area=1/2*base*height=1/2*x*√3x/2=49√3
√3x^2/4=49√3
x^2=4*49
x=2*7=14
3x=42
perimeter of this triangle=42 units
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