Question

Construct a square in which each diagonal is 5 cm long.

Answer 1

Steps of construction:

Step I: Draw AC = 5 cm.

Step II: With A as centre, draw arc of length slightly greater than `1/2` AC above and below the line segment AC.

Step III: With C as centre, draw an arc of same length as in step II above and below the line segment AC that is intersect the arcs drawn in step II.

Step IV: Join both the intersection points obtained in step III by a line segment that is intersect AC at O.

Step V: With O as centre cut-off OB = OD = 2.5 cm along the bisector line.

Step VI: Join AD, CD, AB and CB.

Hence, ABCD is a required square.