document.write( "Question 260550: the hypotenuse of a right triangle is 26 cm. the sum of the two other sides is 34 cm. find the lengths of the other two sides of the triangle. how do i solve this ? \n" ); document.write( "
Algebra.Com's Answer #191920 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the hypotenuse of a right triangle is 26 cm. the sum of the two other sides is 34 cm. find the lengths of the other two sides of the triangle. \n" ); document.write( "--------------------------------- \n" ); document.write( "let one side be x \n" ); document.write( "The other side is 34-x \n" ); document.write( "----------------------------- \n" ); document.write( "Pythagoras: \n" ); document.write( "x^2 + (34-x)^2 = 26^2 \n" ); document.write( "x^2 + 1156 - 68x + x^2 = 676 \n" ); document.write( "2x^2 -68x + 480 = 0 \n" ); document.write( "x^2 - 34x + 240 = 0 \n" ); document.write( "(x-24)(x-10) = 0 \n" ); document.write( "x = 24 or x = 10 \n" ); document.write( "------------------------------ \n" ); document.write( "One side is 10 cm the other is 24 cm. \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( " |