The outside angle at the vertex A of triangle ABC is 120 degrees. sides AB = 6cm, AC = 16. find side BC.
| May 1, 2021 | education
The angle BAC and the angle BAC are adjacent angles, the sum of which is 180. Then the angle BAC = 180 – BAD = 180 – 120 = 60.
In the triangle ABC, using the cosine theorem, we determine the length of the side BC.
BC ^ 2 = AB ^ 2 + AC ^ 2 – 2 * AB * AC * CosBAC.
BC ^ 2 = 36 + 256 – 2 * 6 * 16 * (1/2) = 292 – 96 = 196.
BC = 14 cm.
Answer: The length of the BC side is 14 cm.
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