Let S be a square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a,b,c and d denote the lenghts of the sides of the quadrilateral,
Prove that `2lea^(2)+b^(2)+c^(2)+d^(2)le4.`

Let S be the square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a, b, c and d denote the lengths of the sides of the quadrilateral, prove that 2 le a^(2)+b^(2)+c^(2)+d^(2)le 4 .

Let S be the square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a, b, c and d denote the lengths of the sides of the quadrilateral, prove that 2 le a^(2)+b^(2)+c^(2)+d^(2)le 4 .

Let S be a square of nit area.Consider any quadrilateral,which has none vertex on each side of S. If a,b,c and d denote the lengths of the sides of het quadrilateral,prove that 2<=a^(2)+b^(2)+c^(2)+x^(2)<=4

Let S be a square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a , b , c and d denote the lengths of sides of the quadrilateral, prove that 2 ≤ a_2 + b_2 + c_2 + d_2 le 4

Let S be a square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a , b , c and d denote the lengths of sides of the quadrilateral, prove that 2 ≤ a_2 + b_2 + c_2 + d_2 le 4

Let S be a square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a , b , c and d denote the lengths of sides of the quadrilateral, prove that 2 ≤ a_2 + b_2 + c_2 + d_2 le 4

Let S be a square of nit area. Consider any quadrilateral, which has none vertex on each side of Sdot If a ,b ,ca n dd denote the lengths of the sides of het quadrilateral, prove that 2lt=a^2+b^2+c^2+x^2lt=4.

Consider a quadrilateral whose vertices are A (- 4,2),B (2,6), C (8,5) and D (9,7) Find the mid point of the sides of the quadrilateral.

If a,b,c,d are the side of a quadrilateral, then find the the minimuym value of (a^(2)+b^(2)+c^(2))/(d ^(2))