Find the side of a square whose diagonal is 16√2cm

2 answers

well, the diagonal of a square of side s is s√2, so what do you think?
Use Pythagorean theorem to find the value of a.

a² + b² = c²

The diagonal is the hypotenuse c.

Since a and b are equal, we consider them as a.

a² + a² = c²

2 a² = c²

2 a² = ( 16√2 )²

2 a² = 16² ∙ ( √2 )²

2 a² = 16² ∙ 2

Divide both sides by 2

a² = 16²

a = √16²

a = 16 cm