Question

What is the length of side s of the square shown below ​

Answer 1

Hello,

an other method

Pythagorean theorem :

x² + x² = 6²

2x² = 36

x² = 36/2

x² = 18

x = √18 (and not -√18 because x ≥ 0)

x = √(9 × 2)

x = √(3² × 2)

x = 3√2

Answer A

Answer 2

Cos45= A/H
Cos45= s/6
s= 4.24264068712
s= 3 sqrt 2

Therefore the answer is A.