document.write( "Question 151692: # 78 area of a triangle the base of the triangle is 4 inches longer than the height . If its area is 70 square inches , what are the base and the height
\n" ); document.write( "So far I can say base = height + 4 area = 70 the formula for area of a triangle is A = 1/2 bh
\n" ); document.write( "70 = [(h+4)(h)/2]
\n" ); document.write( "140=h^2+4h
\n" ); document.write( "140= (h+4)(h-0) or should I do h^2 + 4h -140 = 0...(h+14)(h-10)=0
\n" ); document.write( "then h=-14 or h=10?
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Algebra.Com's Answer #111501 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You are correct. Remember, a negative height does not make sense. So the only answer is h=10\r
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\n" ); document.write( "\n" ); document.write( "So this would make the base \"b=10%2B4=14\"\r
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\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29b%2Ah\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29%2814%29%2810%29\" Plug in \"h=10\" and \"b=14\".\r
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\n" ); document.write( "\n" ); document.write( "\"A=%28140%2F2%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"A=70\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "Since the area is 70 square units, this verifies the answer.
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