document.write( "Question 592710: One side of a right triangle measures 6 meters. If the hypotenuse measures 10 meters, what is the lenght of the third side? \n" ); document.write( "
Algebra.Com's Answer #376026 by mamiya(56)![]() ![]() ![]() You can put this solution on YOUR website! let x be the side we are looking for, y the side that is 6 and z the hypotenuse\r \n" ); document.write( "\n" ); document.write( "We know by the Pythagorean Theorem that , \n" ); document.write( " z^2 = x^2 + y^2 --> x^2 = z^2 - y^2 \n" ); document.write( " --> x = sqrt( z^2 - y^2) ( x can't be a negative number) \n" ); document.write( " --> x = sqrt( 10^2 - 6^2) \n" ); document.write( " = sqrt( 100-36) \n" ); document.write( " = sqrt( 64) \n" ); document.write( " =8\r \n" ); document.write( "\n" ); document.write( "so the third side is 8 meters \n" ); document.write( " \n" ); document.write( " |