Two circles are constructed taking two sides of a triangle as a diameter then the probability of these two circle intesecting on the 3^rd side is

Hello Student,

Let circles are drawn on AB and AC of ABC
Let there point of intersection other than A be D
as AB is diameter of circle at AB we get ABD=pi/2
as AC is diameter of circle at AC we get ADC=pi/2
=> collinear
So the probablity is 1.

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty