# The side of the square is 14 cm. Calculate the diagonal of the square.

December 29, 2020 | education

| Given:

square

side = 14 cm

Find the diagonal of the square -?

Decision:

1) To solve the problem, a drawing is not needed, so we conventionally denote that the side of the square is a, then the diagonal of the square is d.

2) There are two ways to find the diagonal of a square:

a) Knowing that the side of the square is a = d / √2, we can express the diagonal: d = a√2

Substitute the values d = 14√2 cm

b) You can use the formula d = √ (2S)

S is the area of the square.

S = a ^ 2

S = 14 ^ 2 = 196 cm ^ 2

d = √ (2 * 196) = 14√2 cm.

Answer: d = 14√2 cm.

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