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The triangle ABC, right angled at C, has median AD, BE and CF.AD lies along the line (1 – sqrt3)x + (sqrt( 3)+ 1) y – 6 = 0 , BE lies along the line (1 – 2sqrt 3)x + ( sqrt(3) + 2)y – 8 = 0 . If the length of the hypotenuse is 60, find the area of the triangle ABC. |
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