In triangle ABC, angle C = 60, angle B = 90. Height BH = 2 cm. Find AB.

In the right-angled triangle given by the condition, we find the second acute angle:
∠ А = 90 ° – ∠ С = 90 ° – 60 ° = 30 °.
Consider a right-angled triangle AHB. In it, the angle A = 30 ° and the leg BH = 2 cm are known, which lies opposite the angle of 30 °.
The hypotenuse AB is equal to:
AB = 2 * BH = 2 * 2 = 4 (cm).
Answer: AB length is 4 cm.