It is possible to construct a square if only one of its diagonals is given.
Ali was asked to construct a square for which only the length of the diagonal alone is given. He was given a compass and a straight edge (a ruler with NO markings). The square is ACBD with AB as one of its diagonal. P is said to be the point of intersection of the diagonals of the square. Which of the following is constructed as a first step in this construction?
Which property of a square is used to construct a square given its diagonal?
Construct a square, if :
(i) its one side is 3.8 cm
(ii) its each side is 4.3 cm.
(iii) one diagonal is 6.2 cm.
(iv) each diagonal is 5.7 cm.
Can we construct a square if we know the measure of one of its diagonals?