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  • If the side of equilateral triangle increases at the rate of 1/Square root 3 cm/sec and area increases at the rate of 6cm^2/sec then find the side of the equilateral triangle.

If the side of equilateral triangle increases at the rate of 1/Square root 3 cm/sec and area increases at the rate of 6cm^2/sec then find the side of the equilateral triangle.

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Solution:

A=sqrt3/4 imes x^2 Rightarrow fracmathrmd Amathrmd t=sqrt3/2 imes x(fracmathrmd xmathrmd t)\ \Rightarrow 6=sqrt3/2 imes x imes 1/sqrt3Rightarrow x=12cm

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Deependra Verma

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