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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!