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If in triangle the angles are in the rat...

If in triangle the angles are in the ratio as `1:2:3` , prove that the corresponding sides are `1:sqrt(3): 2.`

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Let `A=θ,B=2θ,C=3θ`
∵`A+B+C=pi`
`⇒θ+2θ+3θ=pi`
`⇒6θ=pi`
`⇒θ=pi/6​`
∴`A=θ=pi/6​`
`B=2θ=2×pi/6​=pi/3`
​ `C=3θ=3×pi/6​=pi/2​`
∴`a:b:c=sin(pi/6)​:sin(pi/3​):sin(pi/2​)`
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