Geometry

If the diagonal of a square has a length of 10 suare root of 2 cm, find the area of the square and the perimeter of the square.

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1. Diagonal forms right triangle, with sides of square as two of the sides. Use Pythagorean theorem.

a^2 + b^2 = (10√2)^2

However, since a = b,

2a^2 = (10√2)^2

Perimeter = 4a

I'll leave the calculations for you.

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