Question

maximum number of circumcircles that a triangle can have ​

Answer 1

Maximum no of circumcircles that a triangle can have is :- One

• Circumcircle of triangle is a unique circle passing through all the vertices of a triangle.
• Also to mention the 3 points define a circle so from 3 points you can draw a unique circle.
• As perpendicular bisector of any chord will pass through the centre of the circle therefore  by drawing two perpendicular bisectors on the two different   sides we can find the unique centre and draw the circle. And the distance of the centre from the vertices is called circumradius.

Answer 2

A triangle can have maximum one Circumcircle

Step-by-step explanation:

A triangle is a polygon with three edges and three vertices

Hence triangle has three vertices/points  which are not collinear

Circum Circle of Triangle is a circle which passes through all the three vertices of Triangle

There is Always one circle possible which can passes through 3 non collinear points

Circumcenter is the center of Circumcircle of triangle

Circumcenter is the point where perpendicular bisector of sides of triangle meet

maximum number of circumcircles that a triangle can have ​ is One & only one

Learn more:

construct incircle and circumcircle of an equilateral triangle DSP with ...

https://brainly.in/question/7119697