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A line segment joining one corner to another but is not an edge is called a diagonal. In other words, a diagonal is a line that connects the opposite vertices of a polygon. Learn the definition, formula, examples & practice questions.
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- Diagonal of a Polygon Formula
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- Octagon
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- Convex Shapes
Diagonals of Polygons. A polygon 's diagonals are line segments from one corner to another (but not the edges). The number of diagonals of an n-sided polygon is: n (n − 3) / 2. Examples: a square (or any quadrilateral) has 4 (4−3)/2 = 4×1/2 = 2 diagonals. an octagon has 8 (8−3)/2 = 8×5/2 = 20 diagonals.
A diagonal of a rectangle divides it into two right-angled triangles. Applying the Pythagoras theorem, we can find the length of diagonal of a rectangle with length (l) and breadth (b) as. d 2 = l 2 + b 2. So, d = l 2 + b 2, where d is diagonal, l is length, and b is the breadth of the rectangle.
The diagonal formula is defined as the formula for diagonals, to find the number of diagonals of different polygons and to find their lengths. The number of diagonal lines of an n-sided polygon = n (n-3)/2 where n is the number of sides.
A diagonal is a straight line that connects the opposite corners of the polygon through its vertex. What is the formula to calculate the diagonal of a polygon? If “n” is the number of vertices of a polygon, the formula to calculate the number of diagonals of a polygon is [n(n-3)]/2
A diagonal is a line segment that connects two non-adjacent vertices or corners of a shape. In geometry, diagonals are used to measure the size of figures such as polygons and right triangles. They can also be used to divide a figure into two equal parts.
A diagonal of a polygon is a line segment joining two vertices. From any given vertex, there is no diagonal to the vertex on either side of it, since that would lay on top of a side. Also, there is obviously no diagonal from a vertex back to itself.
