In triangle ABC BC = 5 AC = 6 AB = 8 Find the cosine of angle A.
| September 8, 2021 | education
We use the cosine theorem for a triangle.
BC ^ 2 = AC ^ 2 + AB ^ 2 – 2 * AC * AB * CosBAC.
25 = 36 + 64 – 2 * 6 * 8 * CosBAC.
96 * CosBAC = 100 – 25 = 75.
CosBAC = 75/96 = 25/32.
Answer: The cosine of angle A is 25/32.
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