A regular decagon (10 - sided figure) divides into 120 triangles (drawn from a point in the center of the decagon)
Its to be determined how many triangles (drawn from a point in the center of the decagon) are in a regular decagon (10 - sided figure)
What is a polygon?
A polygon is an n-sided closed geometric shape of equal angles and sides. For example, Equilateral triangle, square, pentagon, and decagon. etc
A number of sides in a decagon = 10
A number of vertices in a decagon = 10.
From 10 vertices, we chose 3 vertices to form a triangle.
And the combination can be formed as 10c3
= 10c3
=10!/(10-3)!3!
= 10!/7!3!
=10*9*8/3*2*1
= 120
the number of ways to do this is 120 so 120 Triangle will be formed in a decagon.
Thus, 120 Triangle will be formed in a decagon.
Learn more about the Polygon here:
brainly.com/question/17054992
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