document.write( "Question 1191970: In an isosceles triangle ABC, side AB is twice as long as AC. The perimeter of the triangle is 200cm. Find the length of AC.
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Algebra.Com's Answer #823995 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "One side is twice the length of the other, so we can call those two side lengths x and 2x. \n" ); document.write( "And the triangle is isosceles, so the length of the third side is either x or 2x. \n" ); document.write( "But the lengths x, x, and 2x do not form a triangle. \n" ); document.write( "So the length of the third side is 2x. \n" ); document.write( "The perimeter is 200cm: \n" ); document.write( "x+2x+2x = 200 \n" ); document.write( "5x = 200 \n" ); document.write( "x = 40 \n" ); document.write( "2x = 80 \n" ); document.write( "The triangle side lengths are 40, 80, and 80. \n" ); document.write( "The question asks for the length of AC, which is the shortest side. \n" ); document.write( "ANSWER: AC = 40cm \n" ); document.write( " \n" ); document.write( " |