Solve the triangle. A = 52°, b = 10, c=7

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