1.

In `DeltaABC, angleA=100^(@), angleC=30^(@)`. Find (i) largest side, (ii) smallest side of `DeltaABC`.

Answer» In `DeltaABC`
`angleA+angleB+angleC=180^(@)`
`implies" "100^(@)+angleB+30^(@)=180^(@)`
`implies" "angleB=180^(@)-130^(@)=50^(@)`
(i) In `DeltaABC`, the largest angle `=angleA=100^(@)`
`:.` The opposite side BC of `angleA` will be the largest.
(ii) In `DeltaABC`, the smallest angle `=angleC=30^(@)`
`:.` The opposite side AB of `angleC` will be the smallest.


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