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
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\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.
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Algebra.Com's Answer #237379 by mananth(16946)\"\" \"About 
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#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
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\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
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