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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |