In triangle ABC, side AB is 3, side AC is 5, angle BAC is 60 degrees. Find the length of the BC side.
| May 29, 2021 | education
To find the side BC of the triangle ABC, we use the cosine theorem.
BC ^ 2 = AB ^ 2 + AC ^ 2 – 2 * AB * AC * Cos BAC.
BC ^ 2 = 9 + 25 – 2 * 3 * 5 * Cos60 = 34 – 30/2 = 34 – 15 = 19.
BC = √19 cm.
Answer: The length of the BC side is √19 cm.
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