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Find the area of DeltaABC, if a=6m and a...

Find the area of `DeltaABC`, if a=6m and `angleB`and `angleC` are respectively `30^(@)` and `90^(@)`.

Text Solution

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`Delta=(a^(2)sinBsinC)/(2sin(B+C)) = (6^(2).sin30^(@).sin90^(@))/(2sin(30^(@)+90^(@))`
`=(18 xx 1/2 xx 1)/(cos30^(@)) = 9/(sqrt(3)//2)= 6sqrt(3)` sq. metre. Ans.
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