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FrozenT
[24]
3 years ago
14
What is the length of a diagonal of a square with a side length of 6?
Mathematics
Answer
Comment
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2
answers:
Luda
[366]
3 years ago
6
0
D = 8.49
I- - - - - - - - - - - - I
I I
I d I a
I I
I I
I- - - - - - - - - - - - I
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vfiekz
[6]
3 years ago
3
0
By the Pythagorean Theorem:
d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so
d^2=s^2+s^2
d^2=2s^2, and we are told that s=6 so
d^2=2(6^2)
d^2=2(36)
d=√(2(36))
d=6√2 units
d≈8.49 units (to nearest hundredth of a unit)
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