Q15 of 35 Page 11

How many excircles can be drawn to a triangle?

A circle is lying outside the triangle having one side of the triangle as tangent and also other two sides as tangent when they are extended.


There are three sides of a triangle hence there can be three excircles.



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O is the centre of a circle. From an external point, P two tangents PM and PN have been drawn which touch the circle at M and N. If ∠PON = 50°, then find the value of ∠MPN.