document.write( "Question 443371: the altitude of a triangle is 5 m less than its base. The area of the triangle is 42 meters squared find the base. \n" ); document.write( "
Algebra.Com's Answer #305817 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! The altitude (AKA height) can be represented as b-5. The base is b. \r \n" ); document.write( "\n" ); document.write( "Recall that the formula for area is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's factor this:\r \n" ); document.write( "\n" ); document.write( "What adds to -5 and multiplies to -84?\r \n" ); document.write( "\n" ); document.write( "-12 and 7.\r \n" ); document.write( "\n" ); document.write( "So we can factor this as (b-12)(b+7)\r \n" ); document.write( "\n" ); document.write( "So b =-7, b = 12\r \n" ); document.write( "\n" ); document.write( "A negative length doesn't make sense so...\r \n" ); document.write( "\n" ); document.write( "The base is 12.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |