Hello! **math bugs**(🐞) and **hivers**(🐝)

I hope you are doing well.I got 600+❤️ from my previous post and I am really very much flattered. It helps me coming with more dedication; you gonna experience it.😄

My today's post is about **cir-cum-circle** of a triangle.

I am going to show you step by step process. How to draw a CIRCUMCIRCLE of a triangle.It is easy to draw but you have to know what conditions can make a CIRCUMCIRCLE.

Let's take a ∆ABC.It may be right angle triangle or any other. But here I have taken a triangle seems right angle triangle for better understanding.

In the following figure there is a ∆ABC and three perpendiculars are drawn on three sides of the triangle and they bisect the respective sides also to meet at **a point**(⭕).**The point** will be the **center of the circle** which will pass trough three vertices of it.**The circle** thus form will sur-cum-scribe it.Hence it is called **cir-cum-circle**. Take loot at the figure below:

**This is very simple yet people over look some important facts which are given below:**

- ☑️ To produce a circumcircle you have no need of a equilateral triangle or right angle triangle or a isosceles one.It will work for any
- ☑️ If it is a equilateral triangle, the CIRCUMCENTRE will also be
**geo-centre/centroid**,**in-centre**and**ortho-centre.** - ☑️ If the triangle is a right angle triangle, the cir-cum-centre will be on the hypotenuse and it will be at equal distance from circumference.
- ☑️ The cir-cum-centre can be in side the triangle, on the triangle or outside of it(📐).
**Different kind of triangles and their centres**are shown below:⬇️⬇️⬇️

✅ **For acute triangle:**

Cir-cum-centre is inside the triangle.Check it below⤵️

✅ **For right angle triangle:**

Cir-cum-centre is on and at the mid point of the hypotenuse.⤵️

✅**For obtuse angle triangle:**

The point cir-cum-centre is outside the triangle.⤵️

You have visualise all types of cir-cum-circles and how the different circles look.It's very amazing and amusing.

I am not a machine. Mistake happens. Every figure I make takes unimaginable time.So,if there is any mistake, I have overlooked it. Sorry for that.🙏🙏

📯📯 I'm gonna share **other circles** on the coming days.[**In-center/centroid/ortho-centre/ relation of them**]

Thank you everyone for your valuable time.If you like my post, please feel free to make a comment.

All is well, see you around.

Regards: @meta007