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5Question: A technical illustrator is designing a triangular panel for a mechanical diagram, where the triangle has side lengths 7 cm, 10 cm, and 13 cm. What is the measure of the largest angle, in degrees, opposite the longest side?
Solution: To find the largest angle, we apply the Law of Cosines. The longest side is 13 cm, so we let $ a = 7 $, $ b = 10 $, and $ c = 13 $, and compute angle $ C $, opposite side $ c $: