Question

Suppose a triangle has two sides of length 33 and 37 and that the angle between these two sides is 120 what is the length of the third side of the triangle

Answer 1

60.65

Explanation:

The Law of Cosines can help you figure this out. Call the given sides "a" and "b" and the given angle "C". Then the third side, "c" will satisfy the relation ...

c² = a² + b² -2ab·cos(C)

= 33² +37² -2·33·37·cos(120°) = 3679

c = √3679 ≈ 60.65476 ≈ 60.65

The length of the third side is about 60.65 units.