document.write( "Question 782649: Suppose the base and height of a triangle sum to 15, and the area of the triangle is 20 square cm. What are the dimensions of the triangle? \n" ); document.write( "
Algebra.Com's Answer #476475 by lwsshak3(11628)\"\" \"About 
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Suppose the base and height of a triangle sum to 15, and the area of the triangle is 20 square cm. What are the dimensions of the triangle?
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\n" ); document.write( "let b=base
\n" ); document.write( "let h=height
\n" ); document.write( "b+h=15
\n" ); document.write( "b=15-h
\n" ); document.write( "..
\n" ); document.write( "Area=(1/2)b*h=20
\n" ); document.write( "b*h=40
\n" ); document.write( "(15-h)*h=40
\n" ); document.write( "15h-h^2=40
\n" ); document.write( "h^2-15h+40=0
\n" ); document.write( "solve for h by quadratic formula:
\n" ); document.write( "\"h+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=-15, c=20
\n" ); document.write( "ans:
\n" ); document.write( "h=3.47 or 11.53 cm (height)
\n" ); document.write( "b=15-h=11.53 or 3.47 cm (base)
\n" ); document.write( "note: base and height can be interchanged to give the same area \n" ); document.write( "
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