document.write( "Question 178194: In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20. \n" ); document.write( "

Algebra.Com's Answer #133170 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20.
\n" ); document.write( "-----------------
\n" ); document.write( " $\"a+=+b%2Asqrt%283%29\"$
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+20%5E2\"$
\n" ); document.write( "Sub for a
\n" ); document.write( " $\"%28b%2Asqrt%283%29%29%5E2+%2B+b%5E2+=+400\"$
\n" ); document.write( " $\"3b%5E2+%2B+b%5E2+=+400\"$
\n" ); document.write( " $\"4b%5E2+=+400\"$
\n" ); document.write( "b = 10
\n" ); document.write( "a = 10*sqrt(3)
\n" ); document.write( " \n" ); document.write( "

\n" );