Use the diagonal

Geometry Level pending

Find the area of a square whose diagonal is 20 2 20\sqrt{2} .

600 300 500 400

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Let x x be the side length, then by pythagorean theorem, we have

( 20 2 ) 2 = x 2 + x 2 (20\sqrt{2})^2=x^2+x^2

800 = 2 x 2 800=2x^2

400 = x 2 400=x^2

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