In a 30-60-90 triangle, where the shortest leg equals 3, what could the other sides equal?

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Answer 1 · 2015-11-21T02:26:15

The lengths of the other sides are #6# and #3sqrt(3)#.

![http://www.regentsprep.org/regents/math/algtrig/att2/ltri30.htm]( useruploads.socratic.org )

In the diagram above, the side length #1# is the shortest side.

![https://commons.wikimedia.org]( useruploads.socratic.org )

Similarly, in this diagram, you would substitute 3 as your shortest side. So, #a = 3#

To find the lengths of the other two sides, substitute #a=3# into #asqrt(3)# and #2a#:

#asqrt(3)#
#=3sqrt(3)#

#2a#
#=2(3)#
#=6#