In triangle KLM, KL = 2, LM = 3, KM = 4. Find cos K.

Let’s apply the cosine theorem for a triangle.

ML ^ 2 = KL ^ 2 + KM ^ 2 – 2 * KL * KM * CosK.

9 = 4 + 16 – 2 * 2 * 4 * CosK.

16 * CosK = 11.

CosK = 11/16.

Answer: The cosine of angle K is 11/16.



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