Prove that the area of an equilateral triangle


Asked by admin @ in Math viewed by 323 People


Prove that the area of a equilateral triangle is equal to √3/4 a^2 where a is the side of triangle

Answered by admin @



A is the side of traingle .
s=(a+a+a)/2=3a/2
now use hero 's formula ,
area of traingle =root {3a/2 {3a/2-a)(3a/2-a)(3a/2-a)}=root {3a^4/16}
=root3/4 .a^2 (hence proved)

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