document.write( "Question 16701: The height of a triangle is 8 inches less than its base. The area of the triangle is 192 square inches. the height of the triangle is __ inches and the base of the triangle is __ inches. \n" ); document.write( "
Algebra.Com's Answer #8146 by bam878s(77)\"\" \"About 
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let x = the height any y = the base.
\n" ); document.write( "We know that x = y - 8 and \"1%2F2+%2A+x+%2A+y\"= 192
\n" ); document.write( "Pluggin the x = y - 8 into the second equation yields
\n" ); document.write( "\"%281%2F2%29+%2A+%28y-8%29+%2A+y\" = 192
\n" ); document.write( "or
\n" ); document.write( "\"%281%2F2%29+%2A+y%5E2+-+4+%2A+y\" = 192
\n" ); document.write( "and
\n" ); document.write( "\"%281%2F2%29y%5E2+-+4y+-+192\" = 0
\n" ); document.write( "then use the quadratic equation to solve for y
\n" ); document.write( "\"%284+%2B-+sqrt%28%28-4%29%5E2+-+4+%2A+%281%2F2%29+%2A+-192%29%29%2F%282+%2A+%281%2F2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "y = 4 + 20 or y = 4 - 20. Since we are dealing with length then a negative value doesn't make sense so y = 4 + 20 = 24.
\n" ); document.write( "Now use y to solve for x.
\n" ); document.write( "x = y - 8 = 24 - 8 = 16.
\n" ); document.write( "So x = 16 = the height
\n" ); document.write( "and
\n" ); document.write( "y = 24 = the base
\n" ); document.write( "Check: 16 * 24 = 384
\n" ); document.write( "384 / 2 = 192
\n" ); document.write( " \n" ); document.write( "
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