In the ABC triangle, the angle C is 0.6 degrees. AC equals 12 find BC.

1) triangle ABC, ∡ с – straight line.

ac = 12;

cos a = 0.6;

Find Sun.

2) cos a = ac / ab;

ac – adjacent leg.

ab is the hypotenuse.

3) Let us express ab.

ab * cos a = ac;

ab = ac / ab;

4) Find ab.

ab = 12 / 0.6 = 120/6 = 20;

5) Calculate bc by the Pythagorean theorem.

bc = √ (ab ^ 2 – ac ^ 2) = √ (20 ^ 2 – 12 ^ 2) = √ ((20 – 12) * (20 + 12)) = √ (8 * 32) = √ (16 * 16) = 16;

Answer: bc = 16.



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