document.write( "Question 354404: A triangle has a height of 6cm and a base of 8 cm. If the height and the base are both decreased by the same amount, the area of the new triangle is 20 cm squared. what is the base and height of the new triangle? \n" ); document.write( "
Algebra.Com's Answer #253255 by mananth(16946)\"\" \"About 
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height 6 cm
\n" ); document.write( "base 8 cm
\n" ); document.write( "decreased by x cm
\n" ); document.write( "6-x & 8-x will be the new height and base
\n" ); document.write( "Arae of triangle = 1/2 *(6-x)(8-x)=20
\n" ); document.write( "(6-x)(8-x)=20*2
\n" ); document.write( "48-14x+x^2=40
\n" ); document.write( "x^2-14x +8=0
\n" ); document.write( "use quadratic formula
\n" ); document.write( "discriminant = 164
\n" ); document.write( "x1= (14+sqrt164)/2
\n" ); document.write( "x1=(14+12.8)/2
\n" ); document.write( "=26.8/2
\n" ); document.write( "23.4 ( not possible)
\n" ); document.write( "x2= 14-sqrt164)/2
\n" ); document.write( "x2=14-12.8)/2
\n" ); document.write( "x2=1.2/2
\n" ); document.write( "x2=0.6 cm
\n" ); document.write( "...
\n" ); document.write( "The new dimensions are height = 5.4, base = 7.4
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca\r
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