document.write( "Question 35938: If a, b, and c are integers and are the sides of a triangle ABC such that b=a(a-c) show that sin(B)/sin(A) is an integer. \n" ); document.write( "
Algebra.Com's Answer #22361 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! If a, b, and c are \n" ); document.write( "integers and are the sides of triangle ABC such that \n" ); document.write( "b=a(a-c), show that sin(B)/sin(A) is an integer \n" ); document.write( "1 solutions \n" ); document.write( "Answer 22049 by venugopalramana(1719) About Me on \n" ); document.write( "2006-05-03 00:49:16 (Show Source): \n" ); document.write( "1.If a, b, and c are integers and are the sides of \n" ); document.write( "triangle ABC such that \n" ); document.write( "> b=a(a-c), show that sin(B)/sin(A) is an integer \n" ); document.write( "IN A TRIANGLE \n" ); document.write( "a/SIN(A)=b/SIN(B)=c/SIN(C)..HENCE \n" ); document.write( "SIN(B)/SIN(A)=b/a...BUT \n" ); document.write( "b=a(a-c)...OR....b/a=a-c...SINCE a AND c ARE INTEGERS \n" ); document.write( "a-c IS AN INTEGER \n" ); document.write( "HENCE b/a=SIN(B)/SIN(A)..IS AN INTEGER. \n" ); document.write( " |