1.

Construct the excircle for the triangle ABC opposite to thevertex A in which AB=AC=5 cm and BC=4 cm.

Answer»

Solution :Steps:
1. Construct the triangle ABC with AB=AC=5 cm and BC=4 cm.
2 . DRAW the bisector of `angleA`.
3. Draw the external bisectors of `ANGLEB and ANGLEC`.
4. Mark the POINT of concurrence of the bisectors as `I_(1)`.
5. Mark the foot of the perpendicular from `I_(1)` on produced AC as D.
6. Draw a circle with `I_(1)` as the centre and `I_(1) D` as radius. This is the required excircle.


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