document.write( "Question 331134: #1---The length of one leg of a right triangle is 12 meters. the length of the hypotenuse is 8 meters longer than the other leg. find the length of the hypotenuse and the other leg of the triangle.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "#2---Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary angles is 8 degrees less than three times the other. find the measure of each angle. \n" );
document.write( "
Algebra.Com's Answer #237379 by mananth(16946)![]() ![]() You can put this solution on YOUR website! #1---The length of one leg of a right triangle is 12 meters. the length of the hypotenuse is 8 meters longer than the other leg. find the length of the hypotenuse and the other leg of the triangle.\r \n" ); document.write( "\n" ); document.write( "let the other leg be x \n" ); document.write( "one leg = 12 \n" ); document.write( "hyp = x+8 \n" ); document.write( "(x+8)^2=x^2+12^2 \n" ); document.write( "x^2+16x+64=x^2+144 \n" ); document.write( "16x+64=144 \n" ); document.write( "add -64 \n" ); document.write( "16x+64-64=144-64 \n" ); document.write( "16x=80 \n" ); document.write( "x= 5 the other leg. \n" ); document.write( "Hypotenuse = x+8 = 5+8=13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "#2---Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary angles is 8 degrees less than three times the other. find the measure of each angle.\r \n" ); document.write( "\n" ); document.write( "let one angle be x \n" ); document.write( "the other angle = 3x-8 \n" ); document.write( ".. \n" ); document.write( "3x-8+x=180 \n" ); document.write( "4x-8=180 \n" ); document.write( "add 8 \n" ); document.write( "4x-8+8=180+8 \n" ); document.write( "4x=188 \n" ); document.write( "divide by 4 \n" ); document.write( "4x/4=188/4 \n" ); document.write( "x=47 one angle \n" ); document.write( "second angle = 180 -47=133 \n" ); document.write( " |