One eqilateral triangle of side 2cm. What is the area of this triangle

1.	One eqilateral triangle of side 2cm. What is the area of this triangle by herons formula?
Answer» Sides of equilateral triangle=2cm,2cm,2cmIf a=2cm , b= 2cm and c=2 cmThen, s(semi perimeter)=(2+2+2)/2=6/2=3cm =sNow by, heron\'s Formula area of a triangle=√s(s-a)(s-b)(s-c)=√3(3-2)(3-2)(3-2)=√3(1)(1)(1)=√3 cm²Therefore area of equilateral triangle with sides 2cm each is √3cm². A n s w e r:By Herons formula,Area of equilateral triangle=√3a²/4Given,a= 2cmTherefore,Area of the triangle= (√3a²/4) cm²= (√3 × 2²/4) cm²= (4√3 /4) cm²= √3 cm²

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