document.write( "Question 542963: One leg of a right triangle is 9 centimeters longer than the other leg the hypotenuse is 45 centimeters. Find the lengths of the leg of the triangle. \n" ); document.write( "
Algebra.Com's Answer #354711 by friesr(113)![]() ![]() ![]() You can put this solution on YOUR website! a^2 + b^2 = c^2 \n" ); document.write( "---\r \n" ); document.write( "\n" ); document.write( "x^2 + (x+9)^2 = 45^2 \n" ); document.write( "--- \n" ); document.write( "x^2 + x^2+18x+81 = 45^2 \n" ); document.write( "--- \n" ); document.write( "2x^2 + 18x + 81 = 45^2 \n" ); document.write( "--- \n" ); document.write( "2x^2 + 18x - 1944 = 0 \n" ); document.write( "--- \n" ); document.write( "2(x-27)(x+36) \n" ); document.write( "--- \n" ); document.write( "x= -36 \n" ); document.write( "x= 27 \n" ); document.write( "--- \n" ); document.write( "now since a lenght cannot be a negative, the answer is 27 \n" ); document.write( "--- \n" ); document.write( "check \n" ); document.write( "27^2 + 36^2 = 45^2 \n" ); document.write( "2025= 2025 \n" ); document.write( "=== \n" ); document.write( " |