Construction 4. To construct incircle of a triangle ABC whose sides are BC = a, CA = b and AB = c.
Procedure:-
- Triangle ABC in which BC = a, CA = b and AB = c is constructed.
- BM and CN is constructed angle bisectors of which intersect at I.is drawnTaking I as centre and IL as radius, circle is drawn. This is the required incircle.
Construction 5. To construct a circumcircle of a triangle ABC where a = BC, b = CA and c = AB.
Proceture:-
- A triangle ABC is constructed with BC = a, CA = b and AB = c.
- Perpendicular bisector PQ of BC and RS of CA is constructed. They intersect at O.
- Taking O as centre and OC as a radius circle is drawn which passes through A, B and C.
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