Table of Contents

## Can you draw a diagonal using one vertex?

Explanation: Start with ONLY one vertex. Considering that a diagonal can not extend to the vertex directly adjacent to it (because it just traces the side), we eliminate two possibilities (8 – 2 = 6 diagonals). Also, you can not extend a diagonal from a vertex to that same vertex.

**How many diagonals can be drawn from a single vertex of a Nonagon?**

A diagonal is a line segment joining two non-consecutive vertices. A total of twenty-seven distinct diagonals can be drawn for a nonagon. The following figure is an example. There are 6 diagonals extending from each of the 9 vertices of the nonagon above creating a total of 27 diagonals.

### How many diagonals can you draw from one vertex of a quadrilateral?

From one vertex only one diagonal can be drawn which divides the quadrilateral into two triangles. So, 2 is the answer!

**What is the number of the diagonals we can draw from one vertex of a polygon with 11 sides?**

Formula Method: According to the formula, number of diagonals = n (n-3)/ 2. So, 11-sided polygon will contain 11(11-3)/2 = 44 diagonals.

## What is the diagonal formula?

The formula to calculate the number of diagonal of an n-sided polygon = n(n-3)/2 where n is the number of sides of the polygon.

**What is the diagonal of pentagon?**

5

Therefore, the number of diagonals in a polygon pentagon is 5. For n = 6, n-polygon is called hexagon and it has 9 diagonals.

### How many diagonals does a decagon have from one vertex?

7

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 diagonals does a hexagon have from one vertex?**

9 diagonals

A hexagon has 9 diagonals. A diagonal of a polygon is a line segment that runs from one vertex of the polygon to another vertex, excluding the sides…

## How many diagonals can be drawn from one vertex in a 15 Gon?

Each vertex makes a diagonal with n-3 other vertices – as discussed before. So, each vertex will make 15 diagonals. Since 3 vertices are not counted, they will not send out each of these 15 diagonals i.e. 45 diagonals.

**How many diagonals does a hexagon have all together?**

### What is the formula of diagonal?

**How many diagonals does an N sided polygon have?**

Therefore, the number of diagonals in a polygon quadrilateral is 2. For n = 5, we have a pentagon with 5 diagonals. Therefore, the number of diagonals in a polygon pentagon is 5. For n = 6, n-polygon is called hexagon and it has 9 diagonals.