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  • If the area of an equilateral triangle is 49?3 cm^2,find its perimeter.

If the area of an equilateral triangle is 49?3 cm^2,find its perimeter.

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Let a side of the equilateral triangle be a cm, then it's area is fracsqrt34a^2cm^2

According to given, fracsqrt34a^2cm^2=49sqrt3

Rightarrow a^2=4 imes49

Rightarrow a=sqrt4 imes49

Rightarrow a=14

Therefore, The perimeter of the triangle is 3a cm=(3 x 14)cm=42 cm. 

Posted by

Deependra Verma

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