Question

Construct a square ABCD, each of whose diagonals is 5.2 cm.

Answer 1

We know that the diagonals of a square bisect each other at right angles. So, we proceed according to the following steps. Steps of Construction:

(i) Draw AC = 5.2 cm.
(ii) Draw the perpendicular bisector XY of AC, meeting AC at O.

(iii) From O set off OB = $\frac{1}{2}$ (5.2) = 2.6 cm along OY and OD = 2.6 cm along OX.

(iv) Join AB, BC, CD and DA.

Then, ABCD is the required square.