How to illustrate that the medians of a triangle concur at a point called the centroid which always lies inside the triangle by paper folding ? Plz help show figures
Answer :
we know : Median of a triangle is a line that join a vertex to mid point of opposite side .
And
Where all three median meet that point is called cetroid .
Now to illustrate the centroid always lies inside the triangle by paper folding , we use these steps ,
Step 1 - Cut any shape triangle .
Step 2 - Now fold that triangle as we get a line between a vertex and mid point of opposite side .
Step 3 - follow step 2 to get three median , now we observe that the three median meet inside the triangle .
As :
We have three types of triangle , and after paper fonding we get three median ( As we show in red line ) and they meet at ( centroid G ) , that is always inside the triangle .
we know : Median of a triangle is a line that join a vertex to mid point of opposite side .
And
Where all three median meet that point is called cetroid .
Now to illustrate the centroid always lies inside the triangle by paper folding , we use these steps ,
Step 1 - Cut any shape triangle .
Step 2 - Now fold that triangle as we get a line between a vertex and mid point of opposite side .
Step 3 - follow step 2 to get three median , now we observe that the three median meet inside the triangle .
As :
We have three types of triangle , and after paper fonding we get three median ( As we show in red line ) and they meet at ( centroid G ) , that is always inside the triangle .