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In the adjoining figure, DeltaABC is rig...

In the adjoining figure, `DeltaABC` is right-angled at `B`. If `/_A=30^(@)` and `AB=9cm`, find `(i) BC` and `(ii) AC`.

Text Solution

Verified by Experts

From right angled `DeltaABC`, we have
`(i) (BC)/(AB)=tan30^(@)implies(BC)/(9cm)=(1)/(sqrt(3))`
`impliesBC=((9)/(sqrt(3))xx(sqrt(3))/(sqrt(3)))cm=(9sqrt(3))/(3)cm=3sqrt(3)cm`
`(ii)(AC)/(BC)=cosec30^(@)=2implies(AC)/(3sqrt(3)cm)=2impliesAC=6sqrt(3)cm`.
Hence, `BC=3sqrt(3)cm` and `AC=6sqrt(3)cm`.
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