Hello math bugs(🐞) and hivers(🐝)
I hope you are strong and stout.
I feel something ;let me clear it.
☑️☑️Some people may think everyday I have posting same triangle.I should reply them with Haha😅. No man every concept I share here is different from one another and the beauty is No figure use here is a copy of previous one. If you measure them, I am sure, you will definately find them of different sizes.Though I have never measured them with a scale😂. I took the sizes that suit the space to put my sufficient words.✅
Let's get back to the topic:
A centroid is a point inside a triangle(any of its kind) from by three medians after intersecting each other. Unlike cir-cum-centre it can't be outside or on the side of a triangle.
MEDIAN: A median is a line segment which connects a vertex and the mid point of opposite side of a triangle.
Check median below:
VERTEX: A vertex is a point where two sides of a triangle meet.
Check vertex below:
In the figure below, the point "O" at the centre in green colour is the centroid. E is the mid point of AB, F is the mid point of BC and D is the mid point of AC.
Let me make it simple. Suppose you have a triangle shaped plain rock and you wanna balance it on a nail for that the triangle shaped rock do not fell off and the point you find to do that is the Centroid. That's why Centroid is also called geo-centre.
Centroid: O in green colour
Points to be considered:
- ✅The centroid doesn't make any circle touching the three vertices.
- ✅Medians divide a triangle into six equal areas irrespective of its kind.
- ✅The smaller triangle thus made may not be similiar triangle unlike equilateral one.
- ✅A median also divide a triangle into two equal areas.
- ✅A centroid always be inside the triangle.
Your Options are:
- 40 square cm.
- 44 square cm.
- 48 square cm.
- 52 square cm.
Topic on the way: Ortho-centre
I hope you have liked my efforts.
Thank you for stoping by.
See you around.