document.write( "Question 437066: Two sides of a triangle are equal in length, and the third side is 10 inches. If the perimeter is 26 inches, how long are the two equal sides? \n" ); document.write( "
Algebra.Com's Answer #302317 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The sides can be identified as a, b, and c. \n" ); document.write( "Two sides are equal, so we can say a=b. \n" ); document.write( "The perimeter = a+b+c, or 2a + c. \n" ); document.write( "We are told the other side = 10, so: \n" ); document.write( "c = 10 \n" ); document.write( "We are told perimeter = 26. \n" ); document.write( "2a + c = 26 \n" ); document.write( "Substituting for c = 10. \n" ); document.write( "2a + 10 = 26 \n" ); document.write( "Subtracting 10 from both sides. \n" ); document.write( "2a = 16 \n" ); document.write( "Dividing both sides by 2. \n" ); document.write( "a = 8 \n" ); document.write( "A quick mental check confirms the perimeter = 8 + 8 + 10 = 26. \n" ); document.write( ". \n" ); document.write( "Always review the question to make sure you answer it. \n" ); document.write( "Answer: The two equal sides are 8 inches each. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |