document.write( "Question 661906: a triangle has a base 4 m more than its altitude. If its area is 70 m squared, what is the altitude \n" ); document.write( "

Algebra.Com's Answer #412218 by ReadingBoosters(3246) $\"\"$ $\"About$

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a = 1/2bh = 70
\n" ); document.write( "b=4+h
\n" ); document.write( "1/2(4+h)h = 70
\n" ); document.write( "1/2(4h + h^2)=70
\n" ); document.write( "4h + h^2 = 140
\n" ); document.write( "h^2 + 4h - 140 = 0
\n" ); document.write( "(h+14)(h-10)
\n" ); document.write( "h+14=0; h=-14 height should not be negative
\n" ); document.write( "h-10=0; h=10 Yes
\n" ); document.write( "altitude is 10m
\n" ); document.write( "Proof
\n" ); document.write( "1/2(14*10) = 1/2(140)=70 \n" ); document.write( "

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