Question

Find the area of the square the length of diagonal is 72cm

Answer 1

Answer:

288sqcm

Step-by-step explanation:

Area of a square =4*side

=4*72

=488sqcm

Answer 2

Step-by-step explanation:

◾let us consider a square ABCD

where, BD is a diagonal

BD = 72cm,

suppose a triangle ABD ,having angle BAD = 90°

◾In triangle ABD , by Pythagoras theorem,

↪ (BD )² = ( AB) ² + (AD) ²

here AB = AD

↪ (BD )² = ( AB) ² + (AB) ²

↪ (BD )²= 2 (AB) ²

↪ (72)² / 2 = ( AB) ²

↪√((72)² / 2) = ( AB )

↪ 72 / √2 = AB

↪AB = (72/√2) cm

Therefor

• Area of square=( side)² = (72/√2)²

= 5,184 /2

= 2,592 cm²