document.write( "Question 250821: please help me solve this:\r
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document.write( "An isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x+2) and (5x-14). Find the length of the base of the triangle. \n" );
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Algebra.Com's Answer #184452 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! In an isosceles triangle, two legs are equal. In this case, we have \n" ); document.write( "(3x+2) = (5x-14). Solve for x. \n" ); document.write( "16 = 2x \n" ); document.write( "8 = x. \n" ); document.write( "Substitute back into the equation to get the legs = 26. \n" ); document.write( "The perimeter = 84 = a + b + c. \n" ); document.write( "84 = a + 26 + 26 \n" ); document.write( "84 = a + 52 \n" ); document.write( "32 = a. \n" ); document.write( "The base is 32 cm \n" ); document.write( " |