document.write( "Question 948270: A triangle is 10 inches wider than it is tall. If the area of the triangle is 28 square inches, what are the lengths of the height and the base? \n" ); document.write( "
Algebra.Com's Answer #578768 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let the length of the base be \"b\" and the length of the height \"h\"\r
\n" ); document.write( "\n" ); document.write( "the area of the triangle is: \"A=%281%2F2%29bh\"\r
\n" ); document.write( "\n" ); document.write( "given: \"A=28in%5E2\" and
\n" ); document.write( "a triangle is \"10\" inches wider than it is tall; this means the length of the base \"b=h%2B10in\" \r
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\n" ); document.write( "\n" ); document.write( "then,the area of the triangle is: \r
\n" ); document.write( "\n" ); document.write( "\"28=%281%2F2%29%28h%2B10%29h\"...solve for \"h\"\r
\n" ); document.write( "\n" ); document.write( "\"28=%28h%2F2%2B5%29h\"\r
\n" ); document.write( "\n" ); document.write( "\"28=h%5E2%2F2%2B5h\"\r
\n" ); document.write( "\n" ); document.write( "\"56=h%5E2%2B10h\"\r
\n" ); document.write( "\n" ); document.write( "\"0=h%5E2%2B10h-56\"\r
\n" ); document.write( "\n" ); document.write( "\"0=h%5E2-4h%2B14h-56\"\r
\n" ); document.write( "\n" ); document.write( "\"%28h%5E2-4h%29%2B%2814h-56%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28h-4%29%2B14%28h-4%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28h%2B14%29%28h-4%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28h%2B14%29=0\"=> \"h=-14\"...disregard this solution because height cannot be negative\r
\n" ); document.write( "\n" ); document.write( "if \"%28h-4%29=0\"=> \"h=4\"\r
\n" ); document.write( "\n" ); document.write( "so, height is \"highlight%28h=4in%29\", now find the length of the base\r
\n" ); document.write( "\n" ); document.write( "\"b=h%2B10in\"\r
\n" ); document.write( "\n" ); document.write( "\"b=4in%2B10in\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=14in%29\"\r
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