SOLUTION: if a triangle have 6+2root3 perimeter and base angles of 30 and 60 degrees then find length of three sides

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Question 1040472: if a triangle have 6+2root3 perimeter and base angles of 30 and 60 degrees then find length of three sides
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The sides have the following ratios:
+1+ ( side opposite 30 degree angle )
+sqrt%283%29+ ( side opposite 60 degree angle )
+2+ ( side opposite 90 degree angle )
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Since these ratios are fixed, I can multiply them all
by +x+
given:
+1%2Ax+%2B+sqrt%283%29%2Ax+%2B+2x+=+6+%2B+2%2Asqrt%283%29+
+%28+3+%2B+sqrt%283%29+%29%2Ax+=+2%2A%28+3+%2B+sqrt%283%29+%29+
+x+=+2+
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The 3 sides are:
+1%2Ax+=+2+
+sqrt%283%29%2Ax+=+2%2Asqrt%283%29+
+2x+=+4+