document.write( "Question 218267: hi, im having a bit of trouble with some homework... as usual! th question is: How do you construct a triangle given the length of the hypotenuse and one of the shorter sides? even if you can't answer it then i apreciate you trying! thanks!:) \n" ); document.write( "
Algebra.Com's Answer #164389 by ankor@dixie-net.com(22740)\"\" \"About 
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How do you construct a triangle given the length of the hypotenuse and one of the shorter sides?
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\n" ); document.write( "You should know the Pythagorean theorem: a^2 + b^2 = c^2
\n" ); document.write( "where:
\n" ); document.write( "a and b are the two sides
\n" ); document.write( "and
\n" ); document.write( "c is the hypotenuse
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\n" ); document.write( "A simple example
\n" ); document.write( "let a = the unknown side
\n" ); document.write( "let b = 4
\n" ); document.write( "let c = 5
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\n" ); document.write( "Substitute for b & c and in the equaiton
\n" ); document.write( "a^2 + 4^2 = 5^2
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\n" ); document.write( "a^2 + 16 = 25
\n" ); document.write( ":
\n" ); document.write( "a^2 = 25 - 16; subtracted 16 from both sides
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\n" ); document.write( "a^2 = 9
\n" ); document.write( ":
\n" ); document.write( "a = \"sqrt%289%29\"
\n" ); document.write( "a = 3 is the unknown side
\n" ); document.write( ":
\n" ); document.write( "Draw the two legs of right triangle and join them, that's it!
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