The length of the diagonal of a square is 10√2 cm. Its area is
Given:
Length of diagonal = 10√2 cm
Let the side of square = x cm
We know that,
Hypotenuse2 = Base2 + Perpendicular2
⇒ (10√2)2 = x2 + x2
⇒ 200 = 2x2
⇒ x2 = 100
⇒ x = 10 cm
Now,
Area of a square = side2
= (10 cm)2
= 100 cm2