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Chapter 8: Q. 23 (page 527)

In the given problem solve the triangle using the law of sines :

A=40掳,B=40掳,c=2

Short Answer

Expert verified

Required values of the triangle areC=100掳,a=1.3,b=1.3

Step by step solution

01

Step 1. Given information

For a triangle with sides a, b, c and opposite angles A, B, C, respectively, Law of sines is given as:

sinAa=sinBb=sinCc

02

Step 2. Calculation

Given,A=40掳,B=40掳,c=2ForC,C=180掳-A-B=180掳-40掳-40掳=100掳AccordingtoLawofSines,Forb,鈬�sinCc=sinBb鈬�b=sinB脳csinC=sin40掳脳2sin100掳=0.6427脳20.9848=1.28540.9848=1.305鈮�1.3Fora,鈬�sinAa=sinBb鈬�a=sinA脳bsinB=sin40掳脳1.3sin40掳=1.3

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