The range of possible sizes for side x is 2.3 < x < 8.7.
What are the possible sizes for the missing side of a triangle?
Herein we have a triangle, of which two of its sides are known and we can now the set of all possible values by using the law of the cosine:
x² = 3.2² + 5.5² - 2 · 3.2 · 5.5 · cos θ
x = √(40.49 - 35.2 · cos θ)
The cosine is bounded between - 1 and 1, then the possible sizes for the side x are:
2.3 < x < 8.7
To learn more on the law of the cosine: https://brainly.com/question/17289163
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