In a right-angled triangle ABC, the BC leg is 3 cm, the angle A = 30 degrees. Find the AC leg.

univerkov | June 22, 2021 | education

We write in this triangle the definition of the tangent for the angle A:
Tg A = BC / AC → AC = BC / tg A.
Tangent 30 ° is a tabular value equal to √3 / 3.
Find the AC leg:
AC = BC / tan 30 ° = 3 / √3 / 3 = 3√3 (cm).
Answer: the AC leg is 3√3 cm.

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