URGENT!! Solve the triangle for all missing sides and angles. Part 2: Use the law of sines to find the length of side a. Part 3: Use any method to find the length of side c.

B = 55°

a ≈ 143

c ≈ 212

Step-by-step explanation:

From the triangle above we are given a triangle with two known angles and a known side. The sum of angles in a triangle is 180°. Since we are given two angles, the last angle can be gotten when you subtract the two known angles from 180°. Therefore,

angle B = 180° - 42° - 83°

angle B = 55°

To find side a we can use law of sine

a/sin A = b/sin B

a/sin 42° = 175/sin  55°

a/0.66913060635  = 175/0.81915204428

cross multiply

0.81915204428 a  = 117.097856113

divide both sides by 0.81915204428

a =  117.097856113 /0.81915204428

a = 142.950087143

a ≈ 143

To find side c

b/sin B = c/sin C

175/sin 55 = c/sin 83°

cross multiply

c sin 55° = 175 sin 83°

divide both sides by sin 55°

c = (175 × 0.99254615164)/0.81915204428

c = 173.695576537 / 0.81915204428

c = 212.043146019

c ≈ 212

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