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Right triangle ABC with right angle A has an area equal to its perimeter. If the incentre of the triangle ABC is I and IB is of length sqrt(13), find its area (in sq. units). |
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Answer» Solution :`rcosec(B)/(2)=sqrt(13)` ALSO, `Delta=rs` but `Delta=2s("given")` `:.r=2` Hence `"sin"(B)/(2)=(2)/(sqrt(13))` `:.cosB=1-2"sin"^(2)(B)/(2)=1-(8)/(13)=(5)/(13)` now using `2s=Delta` `30K=(5K.12K)/(2)` `:.""k=1` hence area of `Delta=30` SQ. units.
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