Question:
In a square, one diagonal is 16 cm. Find the side of the square.
Answer:
By definition, the sides of a square are all equal. So the diagonal of a square forms a right triangle with two adjacent sides.
According to the Pythagorean Theorem,
d2 = s2 + s2
=> d2 = 2s2
where: d = Length of the diagonal, s = length of a side
Given, d = 16
Then (16)2 = 2s2
256/2 = s2
=> s2 = 128
=> s = √(128)
=> s = 11.3 (approximate)
So, the length of the side of the square is 11.3 cm
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