document.write( "Question 830068: The base of an isosceles triangle is two-fifths the length of each of the congruent sides. The perimeter of the triangle is 60 cm. How long is the base \n" ); document.write( "
Algebra.Com's Answer #501342 by jean14(9)![]() ![]() You can put this solution on YOUR website! perimeter is simply the sum of all sides. \r \n" ); document.write( "\n" ); document.write( "Congruent sides have same length.\r \n" ); document.write( "\n" ); document.write( "solve; \n" ); document.write( "Let x be the length of the 2 congruent sides\r \n" ); document.write( "\n" ); document.write( "2/5 x be the base length \n" ); document.write( " \n" ); document.write( "Make equation when perimeter is 60, solve for x.\r \n" ); document.write( "\n" ); document.write( "60 = x + x + 2x/5 \n" ); document.write( "60 = 2x + 2x/5 \n" ); document.write( "60 = 2 2x/5 \n" ); document.write( "60=12x/5 multiply both sides by 5 \n" ); document.write( "5(60) = (12x/5) 5 \n" ); document.write( "300 =12x divide both sides by 12 \n" ); document.write( "300/12 = 12x/12 \n" ); document.write( "25 = x \n" ); document.write( "The value of each congruent sides is 25cm. And the base is 2/5(25)=base \n" ); document.write( " Then,, 50/5=10cm is the base length...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "60cm = 25cm +25cm + 2/5(25cm) \n" ); document.write( "60cm = 50cm + 10cm \n" ); document.write( "60cm =60cm True \n" ); document.write( " \n" ); document.write( " |