document.write( "Question 139292: The perimter of a triangle is 46 cm. The triangle is isosceles now, but if its base were lenghtened by 6cm and each leg were shortened by 2 cm, it would be equilaterial. Find the base of the original triangle. \n" ); document.write( "
Algebra.Com's Answer #101579 by edjones(8007)\"\" \"About 
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Let an isosceles side be s and the base be b.
\n" ); document.write( "A) 2s+b=46
\n" ); document.write( "B) s-2=b+6
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\n" ); document.write( "B) s=b+8
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\n" ); document.write( "2(b+8)+b=46 Substitute b+8 for s.
\n" ); document.write( "2b+16+b=46
\n" ); document.write( "3b+16=46
\n" ); document.write( "3b=30
\n" ); document.write( "b=10 Ans.
\n" ); document.write( "s=18
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\n" ); document.write( "Check:
\n" ); document.write( "Sides of original triangle: 18, 18, 10
\n" ); document.write( "Sides of equilateral triangle: 16, 16, 16
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