Solve the triangle with aequals242242 bequals135135 and cequ

Solve the triangle with aequals=24.224.2, bequals=13.513.5, and cequals=16.916.9.

Solution

a=24.2 , b=13.5, c=16.9

a²=b²+c²-2bc cos A

cos A= (b²+c²-a²)/2bc

cos A=(13.5²+16.9²-24.2²)/2(13.5)(16.9)

A=105 degree

cos B=(a²+c²-b²)/2ac

cos B=(24.2²+16.9²-13.5²)/2*24.2*16.9

B=32.6 degree

C=180-A-B=180-105-32.6=42.4 degree