SOLUTION: If the hypotenuse of a 30-60-90 triangle is equal to 50, what is the length of the short side?

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Question 977978: If the hypotenuse of a 30-60-90 triangle is equal to 50, what is the length of the short side?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The sides of the 30-60-90 triangle
are in the ratios: +1+ : +sqrt%283%29+ : +2+
( these are the sides opposite the respective angles )
[ side opposite 30 degree angle ] / [ side opposite 90 degree angle ]
= +1+%2F+2+
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Let +a+ = length of the short side
+a+%2F+50+=+1%2F2+
+a+=+25+
The length of the short side is 25