SOLUTION: Find the remaining sides of a 30�-60�-90� triangle if the longest side is 11. (Enter your answers as a comma-separated list.)

Question 1080068: Find the remaining sides of a 30�-60�-90� triangle if the longest side is 11. (Enter your answers as a comma-separated list.)
Found 3 solutions by Alan3354, MathLover1, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the remaining sides of a 30�-60�-90� triangle if the longest side is 11.
If by "longest side" you mean the hypotenuse:
Shortest side = 11*sin(30) = 5.5
Other side =
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(Enter your answers as a comma-separated list.)
Enter them any way you like.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

The triangle is significant because the sides exist in an easy-to-remember ratio:
::
That is to say, the is twice as long as the ,
and theleg is the times the shorter leg.
so, if the longest side is , means the is
if the is as long as the , than
and theleg is the times the shorter leg :
solution:
,,

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Find the remaining sides of a 30�-60�-90� triangle if the longest side is 11. (Enter your answers as a comma-separated list.)

The HYPOTENUSE is the longest side
Shorter LEG:
Longer LEG:
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