Question

Find the length of a diagonal of a square whose side is 2 cm​

Answer 1

• Side=a=2cm

Length of diagonal

• side√2
• a√2
• 2√2cm

Answer 2

2√2 cm

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