Find the third side Simplified exact answer No decimals If t

Find the third side. Simplified exact answer. No decimals. (If there is no such triangle enter NONE for each answer.) Put your answer in the form squareroot x - y cos (z) b = 61, c = 31, angle A = 62 degree a =

Solution

Using cosine law

a²=b²+c²-2bc cos A

a²=61²+31²-2*61*31cos62

a²=4682 -3782cos 62

a=sqrt(4682 -3782cos62)