not to scale AFor a105mm b63mm and C60 calculate the length

(not to scale)

A)For a=105mm, b=63mm, and C=60°, calculate the length of c.
(include units with answer)

B) Same triangle as part A, calculate the angle B.
Specify the units as deg or degrees.
(include units with answer)

C)For a different triangle a=253mm, A=90°, and B=26°, calculate the length of c.

D) Same triangle as part C, calculate the angle C.
(include units with answer)

E)For a different triangle a=320mm, A=90°, and b=269mm, calculate the length of c.

Solution

a) Apply cosine rule :

c^2 = a^2 +b^2 -2bccosC

= 105^2 +63^2 - 2*103*63*cos60

= 8505

c = 92.22 mm

b) apply sine rule:

a/sinA = b/sinB

sinB = 63*sin60/105 = 0.519

B = 31.3 deg

c) Angle C = 180 - A - B = 180 -60 -31.3 = 88.7 deg