document.write( "Question 191808This question is from textbook Beginning Algebra
\n" ); document.write( ": The area of a triangle is 30 square inches. The base of the triangle measures 2 inches more than twice the height of a triangle. Find the measures of the base and the height. \n" ); document.write( "
Algebra.Com's Answer #143929 by nerdybill(7384)\"\" \"About 
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The area of a triangle is 30 square inches. The base of the triangle measures 2 inches more than twice the height of a triangle. Find the measures of the base and the height.
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\n" ); document.write( "Area of any triangle = (1/2)bh
\n" ); document.write( "where
\n" ); document.write( "b is base
\n" ); document.write( "h is height
\n" ); document.write( ".
\n" ); document.write( "Let h = height
\n" ); document.write( "then
\n" ); document.write( "2h+2 = base
\n" ); document.write( ".
\n" ); document.write( "30 = (1/2)(2h+2)h
\n" ); document.write( "30 = (h+1)h
\n" ); document.write( "30 = h^2+h
\n" ); document.write( "0 = h^2+h-30
\n" ); document.write( "0 = (h+6)(h-5)
\n" ); document.write( ".
\n" ); document.write( "h ={-6,5}
\n" ); document.write( "We can toss out the negative solution leaving us with:
\n" ); document.write( "h = 5 inches
\n" ); document.write( ".
\n" ); document.write( "base:
\n" ); document.write( "2h+2 = 2(5)+2 = 10+2 = 12 inches
\n" ); document.write( ".
\n" ); document.write( "Therfore,
\n" ); document.write( "height is 5 inches
\n" ); document.write( "base is 12 inches \n" ); document.write( "
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