Find the Side and Perimeter of a Square Whose Diagonal is 13sqrt2 Cm. - Geometry Mathematics 2

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Sum

Find the side and perimeter of a square whose diagonal is `13sqrt2` cm. 

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Solution

As we know diagonal of a square is `"side"sqrt2`

Here, diagnol = `13sqrt2`

By substitution,

`13sqrt2 = "sides"sqrt2`

Side(s) = `(13sqrt2)/sqrt2`

S = 13cm

Side of square is 13cm

Now, perimeter of square:

P = 4×side(s)

P = 4 × 13

P = 52cm

Hence, perimeter is 52cm

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2018-2019 (July) Set 1

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