document.write( "Question 1114226: The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of the trapezoid if its diagonal bisects the angle at the longer base. \n" ); document.write( "
Algebra.Com's Answer #729212 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Make a sketch and find an isosceles triangle formed by the diagonal, shorter base and the lateral side of the trapezoid.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus you have the lateral sides of the trapezoid congruent to the shorter base.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Your trapezoid then has the sides of 5:3:3:3 units.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In total, there are 5 + 3 + 3 + 3 = 14 units.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, each unit is of\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |