Triangle angles

In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c.

Final Answer:

r =  6:5

Step-by-step explanation:

r1 = a:b = 3:2 α: β = 2:1 α = 2β sin α : sin β = a:b = 3:2  sin 2β  : sin β = 3:2 = 1.5  sin β  2 sin β cos β = 1.5  2 cos β = 1.5  cos β = 0.75  β=π180°arccos0.7541.4096  α=2 β=2 41.409682.8192  γ=180αβ=18082.819241.409655.7711   r =  sin γsin α = a:c r=sinα/sinγ=sin82.819244218542° /sin55.771133672187° =0.992157/0.826797=1.2=6:5



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planimetricsbasic operations and conceptsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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