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Chapter 8: Q.19 (page 553)

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say 鈥淣o triangle.鈥�a=4,A=20,B=100

Short Answer

Expert verified

The remaining sides and angles areC=60b=11.5c=10.1C=60b=11.5c=10.1

Step by step solution

01

Step 1, Given information   

The given data isa=4,A=20,B=100

02

Step 2. Find the angle C

Since the angle A, B, and c are the angel of a triangle,

A+B+C=18020+100+C=180C=180-120C=60

03

Step 3. Find the length of side b

Use the Law of Sines, sinAa=SinBb=SinCc

Here, a=4,A=20,B=100,C=60

sinAa=SinBb=SinCcsin204=Sin100bb=4Sin100sin20b=11.5

04

Step 4. Find the length of sides c

Use the Law of Sines ,sinAa=SinBb=SinCcsin204=Sin60cc=4*Sin60sin20c=10.1

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