how do you find the lenghth of the hypotenuse in a 45 degree- 45 degree- 90 degree triangle??

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how do you find the lenghth of the hypotenuse in a 45 degree- 45 degree- 90 degree triangle??

Mathematics
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1^2 + 1^2 = c^2 1+1 = c^2 2 = c^2 sqrt(2) = c
any rt triangle can be used with the pythag thrm
|dw:1327861529976:dw| using this picture

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|dw:1327861572467:dw|
since the length of a side is scaled by 9, the hyp is scaled by 9 as well
1 = sqrt(2) 9*1 = 9*sqrt(2)
find the length of the hypotenuse of a \[45 degree- 45 degree- 90 degree \] triangle with leg lengths of \[5\sqrt{3}\]
(5.3)^2 + (5.3)^2 = hyp^2 or; since the legs are scaled by 5.3; scale the hyp of a unit cube by 5.3
i get 5.3 * .2 = 5.6 . being a lazy sqrt

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