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In in triangleABC, angleC=105^(@), angle...

In in `triangleABC, angleC=105^(@), angleB=45^(@)` and `a=2` cm, then find the value of b.

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In `triangleABC, angleA+angleB + angleC=180^(@)`
`rArr angleA + 45^(@) + 105^(@) = 180^(@)`
`therefore` By sine rule,
`a/(sinA) = b/(sinB)`
`2/(sin 30^(@)) = b/(sin 45^(@))`
`b=2sqrt(2)` cm
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