Question

Construct a square ABCD, when: One diagonal = 5.4 cm.

Answer 1

We know that the diagonals of a square are equal and bisect each other at right angles.

Steps:

1. draw AC = 5.4cm.

2. Draw the right bisector XY of AC, meeting AC at O.

3. From O, set off OB = `1/2` (5.4) = 2.7cm along OY and along OX.

4. Join AB, BC, CD, and DA.

ABCD is the required square.