document.write( "Question 550977: A brace for a shelf has the shape of a right triangle. Its hypotenuse is 10 inches long and the two legs are equal in length. How long are the legs of the triangle? \n" ); document.write( "
Algebra.Com's Answer #359276 by oberobic(2304)\"\" \"About 
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Use the Pythagorean Theorem.
\n" ); document.write( "c^2 = 10^2 = 100
\n" ); document.write( "c^2 = a^2 + b^2
\n" ); document.write( "a = b
\n" ); document.write( "100 = a^2 + a^2 = 2*a^2
\n" ); document.write( "a^2 = 50
\n" ); document.write( "a = sqrt(50) = sqrt(25*2) = 5*sqrt(2)
\n" ); document.write( "so,
\n" ); document.write( "The legs are each 5*sqrt(2) inches.
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