document.write( "Question 699567: Im finding X
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document.write( "Triangle FGH is an equilateral triangle with FG=X+5, GH=3X-9, andFH=2X-2 what is X equal \n" );
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Algebra.Com's Answer #431434 by Simnepi(216)![]() ![]() You can put this solution on YOUR website! Because it is an equilateral triangle all the sides are the same, that is, \n" ); document.write( "FG = GH = FH \n" ); document.write( "Or \n" ); document.write( "x+5 = 3x-9 = 2x-2 \n" ); document.write( "Let's have a look at just one pair of these sides, FH and GH. \n" ); document.write( "2x-2 = 3x-9 \n" ); document.write( "Looking at these we can see that GH has one more x than FH but is also 7 less in the number part of the expression. \n" ); document.write( "Because these sides are equal, we have not increased or decreased the side, we can say that x must be the same as 7. Therefore \n" ); document.write( "x = 7 \n" ); document.write( "To check: \n" ); document.write( "Work each expression out and see if they are the same. \n" ); document.write( "x+5 = 7+5 = 12 \n" ); document.write( "3x-9 = 21-9 = 12 and \n" ); document.write( "2x-2 = 14-2 = 12. \n" ); document.write( "Yay! Our answer must be correct! so x = 7 \n" ); document.write( " \n" ); document.write( " |