Question

Diagonal of a square is 20cm long.How long is each side?

Answer 1

Answer:

20 root2 cm

Step-by-step explanation:

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Answer 2

Answer:

10√2 cm

Step-by-step explanation:

A square with all sides of length s has a diagonal of length s√2.

That is because the diagonal of the square is the hypotenuse (which is the longest side) of a right triangle with two sides of length s.

The Pythagorean Theorem states:

a²+ b² = c²

For this square:

s² + s² = (20)²

2s² = (20)²

s² = (20)²/2

s² = (20/√2)²

s = 20/√2

s = 10√2 cm