Find the angles of the triangle ABC if a5 bl I and cl3 Round

Find the angles of the triangle ABC if a=5. b=l I and c=l3. Round your answers to the nearest tenth of a degree Solve the triangle ABC if a = 20. h =17. and -4= 47degree Round your answers to one decimal place. Find the area of the triangle ARC if a = 68. b=57. C- 23degree. Find a unit vector in the direction of v = (-17.22).

Solution

1)a=5 , b=11, c=13

cosA=(b²+c²-a²)/2bc

cosA=(11²+13²-5²)/(2*11*13)

cosA=(265/286)

A=arccos(265/286)

A=22.1^o

cosB=(a²+c²-b²)/2ac

cosB=(5²+13²-11²)/(2*5*13)

cosB=(73/130)

B=arccos(73/130)

B=55.8^o

cosC=(a²+b²-c²)/2ab

cosC=(5²+11²-13²)/(2*5*11)

cosC=(-23/110)

C=arccos(-23/110)

C=102.1^o