document.write( "Question 170043: the area of a triangle is 6 square inches the hieght of the triangle is 5 inches less than the house. what are the measurements of the base and the height of the triangle. \n" ); document.write( "

Algebra.Com's Answer #125507 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "I think you mean as the \"height is 5 inches less than the base?\"
\n" ); document.write( "We'll base the computation as per condition:
\n" ); document.write( " $\"A%5BT%5D=%281%2F2%29bh\"$
\n" ); document.write( " $\"b=x%28in%29\"$
\n" ); document.write( " $\"h=x-5%28in%29\"$
\n" ); document.write( "So, $\"6=%281%2F2%29%28x%29%28x-5%29\"$
\n" ); document.write( " $\"12=x%5E2-5x\"$ ----> $\"x%5E2-5x-12=0\"$
\n" ); document.write( "Remember --- $\"system%28a=1%2Cb=-5%2Cc=-12%29\"$
\n" ); document.write( "By Quadratic Eqn: $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x=%28-%28-5%29%2B-sqrt%28-5%5E2-4%2A1%2A-12%29%29%2F%282%2A1%29\"$
\n" ); document.write( " $\"x=%285%2B-sqrt%2825%2B48%29%29%2F2\"$ ---> $\"x=%285%2B-sqrt%2873%29%29%2F2=%285%2B-8.544%29%2F2\"$
\n" ); document.write( "2 values:
\n" ); document.write( " $\"x=%285%2B8.544%29%2F2=13.544%2F2=highlight%286.772inches=base%29\"$
\n" ); document.write( " $\"x=%285-8.544%29%2F2=-3.544%2F2=-1.772\"$ , don't use
\n" ); document.write( "Height: $\"6.772-5=highlight%281.772inches=h%29\"$
\n" ); document.write( "Check,
\n" ); document.write( " $\"6in%5E2=%281%2F2%29%286.772%29%281.772%29\"$
\n" ); document.write( " $\"6in%5E2=%281%2F2%29%2812%29\"$
\n" ); document.write( " $\"6in%5E2=6in%5E2\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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