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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ". \n" ); document.write( "B) s=b+8 \n" ); document.write( "A) \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 \n" ); document.write( ". \n" ); document.write( "Check: \n" ); document.write( "Sides of original triangle: 18, 18, 10 \n" ); document.write( "Sides of equilateral triangle: 16, 16, 16 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |