a square has a side length of 6 inches. Which of the following is the length of its diagonal in inches

Mathematics · Middle School · Tue Nov 03 2020

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Side of square = 6 inches

Let Diagonal of a square be c

And it's sides are a and b

Then, c² = a² + b²         {By phythogoras theorem}

c² = 6² + 6²

c² = 36 + 36 

c² = 72

Taking square root of both sides, we get

c = 6√2

 

Hence, diagonal of square is 6√2.