How many non overlapping triangles can be formed in 11 sided polygon by joining the vertices?
Answers
Answer:
The number of non overlapping triangles can be formed by any n sided polygon formula is n-2
Step-by-step explanation:
So,
given that :
11 sided polygon hence number of sides
n=11
Hence non overlapping triangles can be formed 11 side polygon is
=11-2=9
so in total we get 9 non overlapping triangles can be formed .
will get the correct idea of generation of formula by checking it graphically please check the image attached.
![](https://hi-static.z-dn.net/files/d56/69651f2016eed6d8ab1e458cedf65553.png)
Answer:
Step-by-step explanation:
In the case of regular polygon the formula for the numb er of triangle in a polygon is - number of triangle = n-2
where n is the number of sides
The triangle are created by drawing the diagonals from one vetex to all the others.
So making non overlapping triangles in 11 sided polygon be
n-2
= 11-2
= 9
there is 9 overlapping triangles be formed in a 11 sided polygon.