A 2 2.5 2^{2.5} level problem -2!

Geometry Level 4
  • Consider the areas of the four triangles obtained by drawing the diagonals AC and BD of a trapezium ABCD.
  • The product of these areas, taken two at time, are computed.
  • If among the six products so obtained, two products are 1296 and 576,
  • Determine the square root of the maximum possible area of the trapezium of the nearest integer.


The answer is 13.

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