How to find the length of diagonal of a square when sides are given?
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let us consider a square with side length = a
diagonal = AC
To find length of diagonal we consider the right angles triangle ABC in which angle B = 90°
According to Pythagoras theorem
AB^2 + BC^2 = AC^2
AB = BC =a
AC^2= 2a^2
AC= √2 a
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Answer:
Length of diagonal = √2×side of square.
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