The perimeter of an equilateral triangle is
[tex] \sqrt{3 } \: times[/tex]
it's area. Find the length of each side.
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The perimeter of an equilateral triangle is
[tex] \sqrt{3 } \: times[/tex]
it's area. Find the length of each side.
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Let the sides of the equilateral triangle as a
So it's perimeter is 3a
So its are is = 3√3a
But we know that the area of equilateral triangle as ,area = √3/4×a² [ where a is the length of each sides]
ATQ,
3√3a = √3/4 × a²
=> a = 12 units
So the lenght of each side is 12 units
That's it
Hope it helped (´°̥̥̥̥̥̥̥̥ω°̥̥̥̥̥̥̥̥`)
Let the sides of the equilateral triangle as @
So it's perimeter is [email protected]
So its are is = 3√[email protected]
But we know that the area of equilateral triangle as ,area = √3/4×@² [ where @ is the length of each sides]
ATQ,
3√[email protected] = √3/4 × a²
=>@a = 12 units
lenght of each side is 12 units