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In triangle ABC, AB=6,AC=3sqrt6,angleB=6...

In triangle `ABC, AB=6,AC=3sqrt6,angleB=60^@" and " angle C=45^(@)`. Find length of side BC.

Text Solution

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The correct Answer is:
`3+3sqrt3 `units
In the figure, `BC=BD+DC`

In triangle ADB,
`BD=ABcos60^(@)=6xx1/2=3`
In triangle ADC,
`CD=ACcos45^@=3sqrt6xx1/sqrt2=3sqrt3`
`:. BC=3+3sqrt3`
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