Question

the area of square is 100 cm². Find the area of the square formed by joining the midpoints of the sides of the given square​

Answer 1

Answer:

Area of square = 100 cm^2

Each side = √side = √(100 cm^2) = 10 cm

Draw diagonal AC.

Length of diagonal = side√2 = 10√2 cm

In ∆ABC,

E is midpoint of AB.

F is midpoint of BC.

By midpoint theorem,

EF = 1/2 AC = 1/2 × 10√2 cm = 5√2 cm

Area of square EFGH = (side)^2

= (5√2 cm)^2

= 25 × 2 sq. cm

= 50 sq. cm

Answer 2

Step-by-step explanation:

square=area=64m

side=64\4=16\22=8

8√