AC is the base of triangle ABC. Point E is the middle of the segment AC. The BE segment is perpendicular to AC

AC is the base of triangle ABC. Point E is the middle of the segment AC. The BE segment is perpendicular to AC, AC = 8 cm. The AB side is twice the size of the AC side. Find aircraft.

According to the condition of the problem, the segment BE is the height drawn to the side of the AC. Point E is the base of this height and, by condition, divides the AC side in half. We get that the height BE is the median, and the triangle ABC given by the condition is isosceles, AB and BC are the lateral sides, AC is the base.
Find the AB side:
AB = 2 * AC = 16 (cm).
AB = BC = 16 (cm).
Answer: BC side is 16 cm.