Calculate 3209

Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm.

Correct answer:

a =  18.4101 cm
b =  14.8629 cm
c =  6.5114 cm

Step-by-step explanation:

R=10 A=113 B=48 C=180AB=18011348=19 a=2 R sinA=2 R sin113° =2 10 sin113° =2 10 0.920505=18.41=18.4101 cm
b=2 R sinB=2 R sin48° =2 10 sin48° =2 10 0.743145=14.863=14.8629 cm
c=2 R sinC=2 R sin19° =2 10 sin19° =2 10 0.325568=6.511=6.5114 cm

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