Quantitative Aptitude :: Area - Discussion

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Explanation:
The triangle has to be max area and hence should be equilateral but cannot be as the angle in the sq shall be 90 degrees. Hence the triangle is isosceles with the angles as 90, 45, 45. Hence the other two sides shall be 50Ö 2 each. So area is 0.5 x base x ht etc. etc.