Find the base of an isosceles triangle if the base angle is 30 degrees and the height to the base is 10 Find the base.

Given:
isosceles triangle ABC,
ВН – height,
BH = 10,
angle A = angle BC = 30 degrees.
Find the base of the speaker -?
1) Consider a right-angled triangle ABН. In a right-angled triangle opposite an angle of 30 degrees lies a leg, which is half the hypotenuse. Then
BH = 1/2 * AB;
AB = 2 * BH;
AB = 2 * 10;
AB = 20.
2) By the Pythagorean theorem:
AH ^ 2 + HB ^ 2 = AB ^ 2;
AH ^ 2 = AB ^ 2 – HB ^ 2;
AH ^ 2 = 400 – 100;
AH ^ 2 = 300;
AH = 10√3:
3) In an isosceles triangle, the height is also the median, then
AC = 2 * AH;
AC = 2 * 10√3;
AC = 20√3
Answer: 20√3.