A leg of a 45-45-90 triangle has length #3sqrt2#. What's the length of the hypotenuse?

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Answer 1 · 2016-05-25T13:27:15

Multiply the length of the leg by #sqrt(2)# to arrive at the length of the hypotenuse = 6.

45-45-90 triangles have a ratio of bases to hypotenuse of #1:sqrt(2)#

We are given that a leg of a 45-45-90 triangle has a length of #3sqrt(2)#. To find the hypotenuse, we multiply the length of the leg by #sqrt(2)#:

#3sqrt(2)*sqrt(2)=3*2=6#