In triangle ABC AC = BC = 72, angle C is 30 degrees find the height AH.
| January 9, 2021 | education
Consider the triangle AНС: since the height AH is perpendicular to the side BC, then the angle H is straight, AC is the hypotenuse, AH is the leg opposite to the angle C. The sinus of the angle is the ratio of the opposite leg to the hypotenuse, which means sinC = AH / AC. We find AН: AH = AC * sinC = 72 * sin30 = 72 * 0.5 = 36.
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