Prove that in any quadrilateral the sum of the diagonals is greater than its semi—perimeter.

Prove that in any triangle, the semi perimeter is greater than each of its sides.

Prove that the perimeter of any quadrilateral is greater than the sum of the diagonals.

For any event E the value of P(E). is ___then 1 and greater than 0

Prove that the sum of the measures of four angles of a quadrilateral is 360^@ .

Prove that the sum of the squares drawn on the sides of a square is equal to the sum of the squares drawn on its diagonals.

Take four congruent card-board copies of any quadrilateral ABCD, with angles as shown in the figures. Arrange the copies as shown in the figure, where angles angle1, angle2,angle3,angle4 meet at a point. What can you say about the sum of the angles angle1, angle2,angle3 and angle4 .

Take four congruent card-board copies of any quadrilateral ABCD, with angles as shown in the figures. Arrange the copies as shown in the figure, where angles angle1, angle2,angle3,angle4 meet at a point. What can you say about the sum of the angles angle1, angle2,angle3 and angle4 .

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squarea of its diagonals.

Rewrite the followings using ‘if, then’:' (it) A quadrilateral is a parallelogram, if its diagonals bisect each other

In any quadrilateral ABCD,prove that sin(A+B)+sin(C+D)=0