In triangle ABC, angle C = 90 degrees, angle A = 60 degrees AC = 4cm. Find BC and AB
| April 11, 2021 | education
In a right-angled triangle ABC, the angle ABC = 180 – 90 – 60 = 30.
Then the leg AC is located opposite the angle 30, and then the length of the hypotenuse AB is equal to two lengths of the leg AC.
AB = AC * 2 = 4 * 2 = 8 cm.
Determine the length of the BC leg.
Sin60 = BC / AB.
BC = AB * Sin60 = 8 * √3 / 2 = 4 * √3 cm.
Answer: Length BC = 4 * √3 cm, AB = 8 cm.
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