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RAmu and his three brothers owned an agricultural lsnd quadrilateral shape. They fenced its bondary with a thick metallic wire. Later on they divided the

land in 4 parts by fixing a thin wire along its diagonals. Which of the twi wires thick or thin was of larger length and why?

See length of diagonal is always less than the side, reason is this inequality:sum of any two sides of a triangle is larger than the sum of other two sides,apply this inequality in all the triangles that can be formed in the quadrilateral and u will see that perimeter is greater than the sum of diagonals so thick wire is of more length.Thank You

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Thick wire will be of larger length. when we divide the quadrilateral into four parts, it will be four triangle. And we know the side property of triangle , that sum of any two sides of a triangle is always greater than the third side. Let the quadrilateral be ABCD then the diagonal AC and BD Then, AB +BC > AC BC +CD > BD CD+ AD >AC AD +AB >BD adding all, 2( AB +BC +CD +AD) > 2(AC +BD) ( AB +BC +CD +AD) > (AC +BD) so the sum of sides of quadrilateral is greater than the sum of it's diagonal.