document.write( "Question 189382: If the area of a triangle is 40 cm^2 and the base equals (2h + 6), what is the height?\r
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document.write( "Here is what I tried.
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document.write( "A=1/2bh\r
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document.write( "40=1/2(2h + 6)(h)
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document.write( "40= (h^2 + 3h)(h)
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document.write( "40= h^3 + 3h^2\r
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document.write( "stuck here. Thanks for the help \n" );
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Algebra.Com's Answer #142077 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the area of a triangle is 40 cm^2 and the base equals (2h + 6), what is the height? \n" ); document.write( "----------------------- \n" ); document.write( "A=(1/2)bh \n" ); document.write( "--- \n" ); document.write( "bh = 2A \n" ); document.write( "h = (2A)/b \n" ); document.write( "-------------------- \n" ); document.write( "h = (2*40)/(2h+6) \n" ); document.write( "--- \n" ); document.write( "Cross-multiply to get: \n" ); document.write( "2h^2 + 6h - 80 = 0 \n" ); document.write( "h^2 +3h - 40 = 0 \n" ); document.write( "(h+8)(h-5) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "h = 5 cm \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |