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

Since BH is the height of triangle ABC, triangles BCH and ABН are rectangular.

In a right-angled triangle BCH, the angle CBH = (90 – BCH) = (90 – 60) = 30.

In a right-angled triangle ABH, the angle ABH = (90 – CBH) = (90 – 30) = 60, then the angle BAH = (90 – 60) = 30.

The BH leg lies against an angle of 30, then AB = 2 * BH = 2 * 2 = 4 cm.

Answer: The length of the AB side is 4 cm.



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