Question

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

56 centimeters
54 centimeters
55 centimeters
57 centimeters

Answer 1

x ≈ 54 cm

Explanation:

using the Cosine rule in the triangle

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

= 3025 + 2601 - 5610cos61°

= 5626 - 5610cos61°

x =
`√(5626-5610cos61)` ≈ 54 cm ( to the nearest whole number )