SOLUTION: How do I figure out the diagonal measurments of a square?

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Question 201641: How do I figure out the diagonal measurments of a square?
Found 2 solutions by Alan3354, RAY100:
Answer by Alan3354(21605) (Show Source):
You can put this solution on YOUR website!
How do I figure out the diagonal measurments of a square?
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Use Pythagoras.
d^2 = s^2 + s^2 = 2s^2
d = s*sqrt(2)

Answer by RAY100(1637) (Show Source):
You can put this solution on YOUR website!
(1) diagon separates a square into 2 equal triangles. legs = "s",,
diagonal =d,,,,as it is a right triangle(square corner),,
use pythagorous,,c^2 = a^2 +b^2,,,with a = b =s,,,c=d,
.
d^2 = s^2 +s^2 =2s^2,,,,d = sqrt 2 s^2 = s*sqrt2,,,,,
.
.
or (2) recognize that the triangles are ,,,45-45-90, with side ratios,
1-1-sqrt2,,or s-s-s*sqrt2,,,and see d= s*sqrt2