Solve each triangle using either the Law of Sines or the Law of Cosines

B=20°,C=75°,b=5

Short Answer

Expert verified

The required triangle is

A=85°a=14.56c=14.12

Step by step solution

01

Given information

B=20°,C=75°,b=5

To find : Angle A and sides a ,c

02

Calculation

We know,

A+B+C=180°A+20°+75°=180°A=180°-20°-75°=85°

By Law of Sines,

sinBb=sinCcsin205=sin75cc=5sin75sin20=14.12sinAa=sinCCsin85a=sin7514.12a=14.12sin85sin75=14.56

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