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## Comment on

Diagonal of a Square## I set up root-3.23 as equal

## Be careful. The sides of a 45

Be careful. The sides of a 45-45-90 triangle will be in the form x, x, (√2)x (not 2x as you have suggested)

So, we can write √3.23 = (√2)x

## Hello Brent. I applied the

## Perfect!

Perfect!

## Hi Brent,

Can we take the formula diagonal 1 *diagonal 2 /2 formula. Since all four sides are equal, so the 2 diagonals will be equal? Is this correct?

## Great idea.

Great idea.

You're referring to the property described at 5:10 of this videos: https://www.greenlighttestprep.com/module/gre-geometry/video/874

So, for column A, the area = (√3.23)(√3.23)/2 = 3.23/2

Column B: 3.23

So, column B is greater.

## So the two diagonals will be

## The two diagonals will be

The two diagonals will be equal for all squares. However, the diagonals are equal in a rhombus ONLY IF the angles in the rhombus are all 90 degrees (that is, the rhombus is a square.)

## So I first applied the 45 45

## Your solution is perfectly

Your solution is perfectly reasoned! Great work!