Question

The area is a aquare, whose diagonal is 12cm, will be

Answer 1

72 square cm, because
diagonal=√2 x side
=>12=√2 x side
=>side=12/√2
So side = 12/√2 cm
So area = square of 12/√2 cm=72 square cm.

Answer 2

let the side of square= a unit
Diagonal= 12cm
ATP
a√2=12
a=12/√2
a=6√2

Therefore, area of square=a^2 sq unit
={6√2} ,,
=72 sq.unit