Show that the are of the triangle formed by the lines y=m1 x, y=m2 x – InterviewSolution

1.	Show that the are of the triangle formed by the lines y=m1 x, y=m2 x and y = c is equal to c24 (√33+√11), where m1,m2 are the roots of the equation x2+(√3+2)x+√3−1=0.
Answer» Show that the are of the triangle formed by the lines $y = m_{1} x, y = m_{2}$ x and y = c is equal to $\frac{c^{2}}{4} (\sqrt{33} + \sqrt{11})$ , where $m_{1}, m_{2}$ are the roots of the equation $x^{2} + (\sqrt{3} + 2) x + \sqrt{3} - 1 = 0.$

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