<PRE><B>Question 1191970</B>
&lt;br&gt;
One side is twice the length of the other, so we can call those two side lengths x and 2x.&lt;br&gt;
And the triangle is isosceles, so the length of the third side is either x or 2x.&lt;br&gt;
But the lengths x, x, and 2x do not form a triangle.&lt;br&gt;
So the length of the third side is 2x.&lt;br&gt;
The perimeter is 200cm:&lt;br&gt;
x+2x+2x = 200
5x = 200
x = 40
2x = 80&lt;br&gt;
The triangle side lengths are 40, 80, and 80.&lt;br&gt;
The question asks for the length of AC, which is the shortest side.&lt;br&gt;
ANSWER: AC = 40cm&lt;br&gt;
</PRE>