Question

A square whose side is 2m has its comers cut away so as to form an octagon with sides
equal. What is the length of each side of actagon?
​

Answer 1

Answer:

Step-by-step explanation:

In the below square ABCD, we need to find the value of EF or GE (since both are equal)

In triangle AGE, AG=AE=x. Since it's an isosceles right angled triangle, GE=√2x .(Sides are in the ratio 1:1:√2 )

EF= 2 - 2x (Since the side of square is 2)

Since EF=GE (Given Octagon with equal sides)

2-2x=√2x

On simplifying the above equation, we get x=√2/√2+1

We need to find the value of √2x, on simplification we get  2/√2+1

Mark as Brainlist !!!!!!!!