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What is the length of side x? Round your answer to the nearest whole number.

56 centimeters
54 centimeters
55 centimeters
57 centimeters
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1 Answer

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x ≈ 54 cm

Step-by-step explanation:

using the Cosine rule in the triangle

x² = 55² + 51² - (2 × 55 × 51 × cos61° )

= 3025 + 2601 - 5610cos61°

= 5626 - 5610cos61°

x = [tex]\sqrt{5626-5610cos61}[/tex] ≈ 54 cm ( to the nearest whole number )
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