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Let g(x) be a function defined on [-1,1]...

Let g(x) be a function defined on [-1,1]. If the area of the equilateral triangle with two of its vertices at `(0,0)` and `(x,g(x))` is `sqrt(3)/4`.then the function g(x) is:

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side length(a)=`sqrt((x-0)^2+(g(x)-0)^2`
`a=sqrt(x^2+g(x)^2`
Area of equilateral triangle=`sqrt3/4a^2`
`sqrt3/4a^2=sqrt3/4`
`a^2=1`
`x^2+g(x)=1`
`g(x)^2=1-x^2`
`g(x)=pmsqrt(1-x^2`.
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