document.write( "Question 123630: 14. Geometry. The perimeter of an isosceles triangle is 37 in. The lengths of the two
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Algebra.Com's Answer #90684 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=length of equal leg, y= length of base\r
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\n" ); document.write( "\n" ); document.write( "Since the perimeter is equal to the sum of all three sides, the perimeter is\r
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\n" ); document.write( "\n" ); document.write( "\"P=x%2Bx%2By\"\r
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\n" ); document.write( "\n" ); document.write( "which simplifies to \r
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\n" ); document.write( "\n" ); document.write( "\"P=2x%2By\"\r
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\n" ); document.write( "\n" ); document.write( "Since the \" lengths of the two equal legs are 6 in. less than 3 times the length of the base\", this means \"x=3y-6\"\r
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\n" ); document.write( "\n" ); document.write( " \"P=2x%2By\" Start with the given formula\r
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\n" ); document.write( "\n" ); document.write( "\"37=2%283y-6%29%2By\" Plug in \"P=37\" and \"x=3y-6\"\r
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\n" ); document.write( "\n" ); document.write( "\"37=6y-12%2By\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"37=7y-12\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"0=7y-12-37\"Subtract 37 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-7y=-12-37\" Subtract 7y from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-7y=-49\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-49%29%2F%28-7%29\" Divide both sides by -7 to isolate y\r
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\n" ); document.write( "\n" ); document.write( "\"y=7\" Divide\r
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\n" ); document.write( "\n" ); document.write( "Since we know that \"y=7\", we can plug this into \"x=3y-6\" to find x\r
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\n" ); document.write( "\n" ); document.write( "\"x=3y-6\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"x=3%287%29-6\" Plug in \"y=7\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=21-6\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"x=15\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "So the length of the equal leg is 15 and the length of the base is 7\r
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