document.write( "Question 70500: Find the legs of an isosolese triangle if the perimeter is 32 and the altitude to the base is 8. \n" ); document.write( "
Algebra.Com's Answer #50323 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Find the legs of an isosolese triangle if the perimeter is 32 and the altitude to the base is 8.\r \n" ); document.write( "\n" ); document.write( "LET THE EQUAL LEGS BE = X \n" ); document.write( "LET THE BASE BE = B \n" ); document.write( "PERIMETER=2X+B=32.....B=32-2X=2(16-X) \n" ); document.write( "ALTITUDE TO BASE = SQRT[X^2-(B/2)^2]=8 \n" ); document.write( "X^2-B^2/4=64 \n" ); document.write( "X^2-[2(16-X)]^2/4=64 \n" ); document.write( "X^2-256+32X-X^2=64 \n" ); document.write( "32X=64+256=320 \n" ); document.write( "X=10 \n" ); document.write( "HENCE EQUAL LEG = 10 \n" ); document.write( "BASE =32-20=12\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |