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Chapter 8: Q. 6 (page 555)

In Problems 6鈥�8, solve each triangle.

A=55掳,B=20掳,a=4

Short Answer

Expert verified

The missing values areC=105掳,b=9.58,c=3.39

Step by step solution

01

Step 1. Given information

The given values areA=55掳,B=20掳,a=4.

02

Step 2. Use the angle sum property

  • The sum of angles of a triangle is 180掳.
  • So,

C=180掳-55掳-20掳=105掳

03

Step 3. Use the rule of sines

  • Use the rule of sines sinAa=sinBb=sinCcand substitute A=55,B=20,C=105,a=4into the equation.
  • Solve the equation for b.

sin554=sin20bb=4sin55sin20鈮�9.58

  • Now, solve the equation for c.

sin554=sin105cc=4sin55sin105鈮�3.39

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