How many diagonals of different lengths are possible in a convex regular decagon?
.
Accordingly, how many diagonals does a convex decagon have?
35 diagonals
Similarly, how many diagonals does a 12 sided polygon have? 54 diagonals
Similarly one may ask, how many diagonals can you draw from 1 Vertice of a decagon?
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 (102)("10 choose 2") pairs of vertices, which equals 45. So there are 45 line segments joining pairs of vertices.
What is diagonal formula?
Diagonal Formula. Any square that has two diagonals are equal in length to each other. Diagonal Formula is used to calculate the polygon diagonals. Diagonals are a line joining two nonadjacent vertices of a polygon i.e. a diagonal joins two vertices of a polygon excluding the edges of the figure.
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