In the ABC triangle, the angle C is 0.6 degrees. AC equals 12 find BC.
September 9, 2021 | education
| 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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