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  • 18-09-2016
  • Mathematics
Answered

Is it possible to form a square whose area is 18 by connecting four lattice points? Explain.

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TheFhannyBear TheFhannyBear
  • 18-09-2016

note the squares...
13 is possible because it is a sum of two squares (integers) 9 + 4 .. use (0,3) & (2,0) ... get the square roots and place on different coordinate axes... for a simpler value.
but there is none for 15...
there is one for 18 ...
18 = 3^2 + 3^2 ... try (0,3) ,(3,0) , (3,6), (6,3).

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