document.write( "Question 432743: The height of a triangle is 2 meters longer than twice its base. Find the base and height if the area of the triangle is 8 meters. \n" ); document.write( "

Algebra.Com's Answer #300032 by checkley79(3341) $\"\"$ $\"About$

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CORRECTION. I MISREAD THE VALUE OF [H]. SORRY.
\n" ); document.write( "A=BH/2
\n" ); document.write( "H=2B+2
\n" ); document.write( "8=B(2B+2)/2
\n" ); document.write( "8=(2B^2+2B)/2
\n" ); document.write( "16=2B^2+2B
\n" ); document.write( "2B^2+2B-16=0
\n" ); document.write( "2(B^2+B-8)=0
\n" ); document.write( " $\"B+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "B=(-1+-SQRT[1^2-4*1*8])/2
\n" ); document.write( "B=(-1+-SQRT1+32])/2
\n" ); document.write( "B=(-1+-SQRT33)/2
\n" ); document.write( "B=(-1+-5.74)/2
\n" ); document.write( "B=(-1+5.74)/2
\n" ); document.write( "B=4.74/2
\n" ); document.write( "B=2.37 ANS. FOR THE BASE.
\n" ); document.write( "H=2*2.37+2
\n" ); document.write( "H=4.74+2
\n" ); document.write( "H=6.74 ANS FOR THE HEIGHT.
\n" ); document.write( "PROOF:
\n" ); document.write( "8=2.37*6.74/2
\n" ); document.write( "8=16/2
\n" ); document.write( "8=8 \n" ); document.write( "

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