What is the perimeter of the square ACEF?
4√2 units
To find the Perimeter of square ACEF, we need to know the side.
There are 2 ways to find the side -
Method 1 :
AC = √AD2+CD2 = √12+12 = √2 units
Method 2 :
AE = 2 cm and AFE is a right angled isosceles triangle with AF = FE
The sides are in the ratio 1 : 1 : √2
Let AF = FE = x and AE = √2x
√2x = 2
x = √2
⇒ AF = FE = √2 units
∴ Perimeter of the square = 4 × Side = 4×√2 = 4√2 units