document.write( "Question 1035801: Hi, please help with this problem. A triangle with angles 40, 40, and 100 has a perimeter of 20cm. Find the length of each side of the triangle.
\n" );
document.write( "I know that it is an isosceles triangle and perimeter is sum of sides so formula would be perimeter =2a+b or 20=2a+b.
\n" );
document.write( "How do I proceed as it seems to have too little info? \n" );
document.write( "
Algebra.Com's Answer #650433 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A triangle with angles 40, 40, and 100 has a perimeter of 20cm. Find the length of each side of the triangle. \n" ); document.write( "I know that it is an isosceles triangle and perimeter is sum of sides so formula would be perimeter =2a+b or 20=2a+b. \n" ); document.write( "----------- \n" ); document.write( "Make a similar triangle with short sides of a = 10 & b = 10 (or any length). \n" ); document.write( "Find the 3rd side, c, using the Cosine Law. \n" ); document.write( "c =~ 14.7433 \n" ); document.write( "Perimeter = 34.7433 \n" ); document.write( "----------- \n" ); document.write( "\"Scale it\" by 20/34.7433 \n" ); document.write( "The short sides are 10*(20/34.7433) = 5.7565 \n" ); document.write( "The long side is 8.4867 \n" ); document.write( " \n" ); document.write( " |