# In a triangle ABC, angle C is 90 degrees, angle A is 60, find the equality of the side AC.

July 27, 2021 | education

| Given:

Triangle ABC – rectangular;

Angle C – 90 degrees;

Angle A – 60 degrees;

Let’s find the equality AC;

Solution:

The angles of a triangle add up to 180 degrees.

Find corner B.

Angle B = 180 – 60 – 90 = 120 – 90 = 30 degrees.

sin A = AC / AB;

cos A = BC / AB;

AB = AC / sin A;

AB = BC / cos A = BC / (1/2) = 2 * BC.

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