How many polygons does a decagon have?
10
Polygons: How Many Sides?
| 3 | triangle, trigon |
|---|---|
| 8 | octagon |
| 9 | nonagon, enneagon |
| 10 | decagon |
| 11 | hendecagon |
How many triangles can be drawn by joining the vertices of a decagon?
The number of triangles created by joining the vertices of a decagon is 120.
How many diagonals can be drawn by joining the vertices of an decagon?
Answer: The number of diagonals that can be drawn from each vertex of a decagon is 7. Let’s look into the solution. Explanation: A decagon is a ten-sided polygon with ten vertices and ten angles.
How many of these triangles can you create inside a polygon with 10 sides?
=8. 10 sides also means 10 vertices. Any three of those vertices define a triangle. So, the number of triangles that can be formed is the same as the combinations of 10 items taken 3 at a time.
Is a decagon a regular polygon?
In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, “ten angles”) is a ten-sided polygon or 10-gon….Decagon.
| Regular decagon | |
|---|---|
| A regular decagon | |
| Type | Regular polygon |
| Edges and vertices | 10 |
| Schläfli symbol | {10}, t{5} |
How many diagonal are there in decagon?
35
A regular decagon has all sides of equal length and each internal angle will always be equal to 1440 as shown in figure. (n-3) multiply by the number of vertices and divide by 2. So the number of diagonals in a decagon are 35.
What is the sum of the interior angle of a decagon?
1440°
Decagon/Sum of interior angles
What is the measure of one of the interior angles of a regular decagon?
144 degrees
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1440 degrees (from above)… And there are ten angles… So, the measure of the angle of a regular decagon is 144 degrees.
How many diagonals can be found in a decagon?
35 diagonals
A decagon has (10 2) – 10 = 35 diagonals. Each pair of opposing sides has three diagonals which are parallel to them, so 5*3 = 15 of the diagonals are parallel to a side.
How many straight lines are in a decagon?
A decagon has ten straight sides and ten vertices (corners). It has ten angles inside it that add up to 1440°.
How many triangles are in a pentagon?
If we divide a pentagon into triangles as in the figure on the left below, the pentagon is made up of 3 triangles, so the angle sum is 180 + 180 + 180 = 3*180 = 540 degrees.
How many triangles can be formed in a pentagon?
There are 35 triangles that can be found inside a regular pentagon.
How many diagonals can you draw from a decagon?
segments, and 10 of these are the sides of the decagon. Therefore there are 45 − 10 = 35 diagonals. From any given vertex you can draw 7 diagonals. You can’t draw to itself or to the two neighboring points.
How many sides does a decagon have with 10 vertices?
So: for each vertex there are seven diagonals. Times 10 equals 70; each diagonal is counted twice, so the final answer is 35. Now, using combinations and such: There are () (“10 choose 2”) pairs of vertices, which equals 45. So there are 45 line segments joining pairs of vertices. Exactly 10 of those are sides of the decagon,…
How many diagonals are there in a 10 sided polygon?
3 Answers. A diagonal joins a vertex to one of the vertices that do not include that vertex itself and the immediately adjacent vertices. So: for each vertex there are seven diagonals. Times 10 equals 70; each diagonal is counted twice, so the final answer is 35. So here it’s a decagon ,that is a 10 sided polygon, So n = 10.
How many triangles don’t share any edges with the decagon?
Now we have the three vertices of the triangle, so everything else is forced. That means there are 10 triangles that share two edges with the decagon. Putting it all together, there are 120 − 60 − 10 = 50 triangles in the decagon that don’t share any edges with the decagon.