In a right-angled triangle ABC, angle C = 90 degrees, angle B = 30 degrees, AB = 18cm. Find the AC.

Given:
right-angled triangle ABC,
angle С = 90 degrees,
angle B = 30 degrees,
hypotenuse AB = 18 centimeters.
Find the length of the AC leg -?
Decision:
Consider a right-angled triangle ABC.
In a right-angled triangle opposite an angle of 30 degrees lies a leg, which is half the hypotenuse. Then AC = 1/2 * AB;
AC = 1/2 * 18;
AC = (1 * 18) / 2;
AC = (1 * 9) / 1;
AC = 9/1;
AC = 9 centimeters – leg length.
Answer: AC = 9 centimeters.