Answer:
a ≈ 7.9, C ≈ 43.9, B ≈ 84.1
Step-by-step explanation:
Use the Law of Cosines:
a² = b² + c² - 2ab·cos A
Substituting the given values, we obtain:
a² = (10)² + (7)² - 2(10)(7)·cos 52°
= 100 + 49 - 140·0.6157
= 149 - 86.1926
= 62.81
Taking the square root of both sides yields:
a = 7.925, or (to the nearest degree) 8