adoringarreaga
adoringarreaga adoringarreaga
  • 13-06-2022
  • Mathematics
contestada

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


56 centimeters
54 centimeters
55 centimeters
57 centimeters

What is the length of side x Round your answer to the nearest whole number 56 centimeters 54 centimeters 55 centimeters 57 centimeters class=

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jimrgrant1 jimrgrant1
  • 13-06-2022

Answer:

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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