Question

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

Answer 1

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