The area of an equilateral triangle with a semiperimeter of 6 meters is 7 m².
Triangle
A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles, right angled, scalene.
The area (A) of a triangle with sides a, b and c by Heron formula is:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)} \\\\s=semiperimeter=\frac{a+b+c}{2} \\\\For\ equilateral,a=b=c, hence:\\\\6=\frac{a+a+a}{2} \\\\3a=12\\\\a=4[/tex]
The area is:
[tex]A=\sqrt{6(6-4)(6-4)(6-4)}=7 m^2[/tex]
The area of an equilateral triangle with a semiperimeter of 6 meters is 7 m².
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