Respuesta :

Answer:

2√2 cm

Step-by-step explanation:

Formula to be understood :

  • Diagonal of a square = Side length√2

Deriving the formula :

  • Apply Pythagorean Theorem by taking the side lengths as altitudes and the diagonal as a hypotenuse
  • side length² + side length² = hypotenuse²
  • 2(side length)² = hypotenuse²
  • hypotenuse = side length√2

Solving for the length of the diagonal :

  • diagonal = 2√2 cm
  • Side=a=2cm

Length of diagonal

  • side√2
  • a√2
  • 2√2cm