In an isosceles triangle, the base angle is 30 degrees. The length of the height, lowered

In an isosceles triangle, the base angle is 30 degrees. The length of the height, lowered to the side, is 8cm. What is the base of this triangle?

Given:
isosceles triangle ABC,
angle A = 30 degrees,
segments AB and BC lateral sides,
AE – height,
AE = 8 centimeters.
Find the length of the base of the speaker -?
Decision:
1) Consider an isosceles triangle ABC.
His angles at the base are equal, that is, angle A = angle C = 30 degrees;
2) Consider a right-angled triangle AEC. In a right-angled triangle opposite an angle of 30 degrees lies a leg, which is half the hypotenuse. Then AE = 1/2 * AC;
AC = 2 * AE;
AC = 2 * 8;
AC = 16 centimeters.
Answer: 16 centimeters.