Question

the perimeter of an equilateral triangle is√3 times its area .find the length of each side​

Answer 1

Step-by-step explanation:

Let side of triangle be a

Height=[ (a^2— a^2/4)]^1/2 = (3a^2/4)^1/2 = a/2×3^1/2

Area= a^2/4×3^1/2=3^1/2

a^2=4

a=2

Perimeter=6

Answer 2

Step-by-step explanation:

The formula for the area of an equilateral triangle is (a**2 * sqrt(3))/4, where a is the side of the triangle. So:

sqrt(3) = (a**2* sqrt(3))/4.

divide both sides by sqrt(3):

1 = a**2/4

a**2 = 4, so

a = 2

the perimeter = 3a =6

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