# Roots , triangle and lines !!

Geometry Level 2

The area of the triangle formed by the lines $y=m_1 \times x$and $y=m_2 \times x$ and $y=c$ is $\frac{c^{2}}{a} \times (\sqrt{b}+\sqrt{d})$,where c is constant not given and $m_1$ & $m_2$ are the roots of the equation $x^{2} + (\sqrt{3} + 2)x + \sqrt{3}-1$. Also a,b&d are integers ,what is the value of $a+b+d$ .

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