- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# $ \mathrm{ABC} $ is a triangle. Locate a point in the interior of $ \triangle \mathrm{ABC} $ which is equidistant from all the vertices of $ \triangle \mathrm{ABC} $.

**Given:**

$ABC$ is a triangle.

**To do:**

We have to locate a point in the interior of $\triangle ABC$ which is equidistant from all the vertices of $\triangle ABC$.

**Solution:**

Let us consider a $\triangle ABC$

We know that,

A point in the interior of the triangle which is equidistant from all the vertices is called the circumcentre of the triangle.

We also know that,

The circumcenter of the triangle is the point where all the perpendicular bisectors of the sides of the triangle intersect.

Therefore,

In $\triangle ABC$ let us draw three perpendicular bisectors from points $A$, $B$ and $C$ and

Let us mark the point of intersection as point $O$

Therefore, $O$ is the required point in the interior of $\triangle ABC$ which is equidistant from all the vertices of $\triangle ABC$.

- Related Questions & Answers
- DecimalFormat(abc#) in Java
- Biggest Reuleaux Triangle within a Square which is inscribed within a Right angle Triangle?
- Abstract Base Classes in Python (abc)
- Biggest Reuleaux Triangle within a Square which is inscribed within a Right angle Triangle in C?
- Calculate weighted average cost of capital of a ABC ltd with the following data.
- Area of circle which is inscribed in an equilateral triangle?
- Area of a triangle inscribed in a rectangle which is inscribed in an ellipse?
- Sum of upper triangle and lower triangle in C++
- MySQL query for alphabetical search (ABC) with REGEXP?
- Check whether a given point lies inside a Triangle
- Program to calculate the Area and Perimeter of Incircle of an Equilateral Triangle What is Equilateral Triangle in C?
- Java Program to find all angles of a triangle
- Biggest Reuleaux Triangle within a Square which is inscribed within a Circle?
- Area of circle which is inscribed in equilateral triangle in C Program?
- Area of Reuleaux Triangle?
- Calculate the hypotenuse of a right triangle in JavaScript