## When all the diagonals are drawn from one vertex of an octagon?

Answer Expert Verified Thus for each of the 8 vertices you can draw 5 diagonals and hence you have constructed 5 8 = 40 diagonals. But you have constructed each diagonal twice, once from each of its ends. Thus there are 20 diagonals in a regular octagon.

## How many diagonals can be formed in an octagon if only one vertex is the reference point?

Count the diagonals. For the square, there are two diagonals: one diagonal for every two vertices. A hexagon has 9 diagonals: there are three diagonals for every three vertices. An octagon has 20 diagonals.

**How do you find the diagonal of a octagon?**

an octagon has 8(8−3)/2 = 8×5/2 = 20 diagonals.

### How many diagonals can be drawn from vertex A?

5 diagonals

You cannot draw diagonals to the vertex itself as well as two adjacent vertices and hence you can draw 5 diagonals from the vertex.

### How many diagonals can be drawn from a vertex of a triangle?

This can easily be proved by the congruence of alternate interior angles. From a given vertex of a polygon with n sides, (n-3) diagonals can be drawn. Every diagonal drawn from a single vertex of a polygon creates one triangle within the polygon, except for the last diagonal, which creates two triangles.

**What is the formula to find diagonals?**

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 diagonals from a fixed vertex?

The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n – 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

## How do you calculate diagonals?

You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

**How many diagonals are in a Heptagon?**

14 diagonals

Heptagon is a polygon ( a closed shape made up of line segments) made up of 7 sides and 7 angles. The word heptagon is made up of two words, hepta meaning seven and gon meaning sides. There are 14 diagonals in a heptagon and in the given heptagon, the blue line segments represent the diagonals.

### What is the formula for diagonal?

### What is the diagonal of a triangle?

A diagonal of a polygon is a line from a vertex to a non-adjacent vertex. So a triangle, the simplest polygon, has no diagonals. You cannot draw a line from one interior angle to any other interior angle that is not also a side of the triangle. A quadrilateral, the next-simplest, has two diagonals.

**How many diagonals can you draw from a vertex in an octagon?**

In a regular octagon, from a vertex you can only draw 5 diagonals. A line from a vertex to the next adjacent vertex on either side is not a diagonal. . Let’s use something you are familiar with. If you are given a square (which has four sides and is a quadrilateral), how many diagonals can you draw from one corner? The answer

## How many lines are there in a regular octagon?

a regular octagon has 8 vertices; so from one vertex, lines can be drawn to the other 7 vertices. the lines to the two adjacent vertices are sides of the octagon the other 5 lines are diagonals.

## How many diagonals can you draw from one corner of a square?

If you are given a square (which has four sides and is a quadrilateral), how many diagonals can you draw from one corner? The answer is 1 diagonal from that corner, not 4 – 1 = 3. From one vertex in a square the only diagonal you can draw is from that vertex to the vertex in the opposite corner.

**What is the probability of selecting the longest diagonal in an octagon?**

Thus if you select one diagonal from all the diagonals in a regular octagon there are 4 chances in 20 that you will select one of the longest ones, and hence a probability of 4 / 20 = 1 / 5. What about the shortest?