5(5-3)/2. That it is the formula so that shape would have 5 diagonals. n(n-3)/2 where n is the number of sides
The formula for determining the number of diagonals in a shape is n(n-3)/2 where n=vertices, (corners or intersections of geometric shapes). For an eight sided shape we replace n with 8. 8(8-3)/2 8(5)/2 (8x5)/2 40/2=20 An octagon contains 20 diagonals. For a further example we can determine the diagonals in a shape with 5 sides: 5(5-3)/2 5(2)/2 (5x2)/2 10/2=5 A Pentagon contains 5 diagonals.
It has 5 diagonals.Formula: number of distinct diagonals = n(n-3)/2where n is the number of sides (or vertices)number of diagonals in pentagon:= 5(5-3)/2= 5(2)/2= 10/2= 5Answer: There are 5 diagonals in pentagon.
Formula: number of diagonals = 1/2 * n(n-3) where n is the number of sides or vertices Example: to get the number of diagonals in a pentagon pentagon has 5 sides or vertices; thus, n = 5 no. of diagonals: = 1/2 * n(n-3) = 1/2 * 5(5-3) = 1/2 * 5(2) = 1/2 * 10 = 10/2 = 5
use the formula s-2 (s=sides) there are 2 triangles in a square, which has 4 sides:4-2=2 there are 3 triangles in a pentagon, which has 5 sides:5-2=3 so, there should be 48 triangles in a shape with 50 sides:50-2=48
A 4-sided polygon has 2 diagonals. A 5-sided polygon, 5. 6-sided, 9. By induction, an n-sided polygon has 'n*(n-3)/2' diagonals. "n" is how many sides a shape has. so, (7)*(7-3)/2 now we have, 7*4/2 so, 28/2 = 14 Therefore, a 7-sided polygon would have 14 diagonals.
It is a 5 sided pentagon
1. Number of diagonals = 0.5*(n2-3n) where n represents the number of sides2. If a polygon had 8 sides write out the numbers in descending order leaving out the first 2 numbers and the last number and adding them up gives the amount of diagonals:-6+5+4+3+2 = 20 diagonalsIf it had 9 sides then do the same:-7+6+5+4+3+2 = 27 diagonals
a heptagon has 7 sides. you cannot draw a diagonal to the 2 adjacent vertices, so 7-2 = 5. there would be 5 diagonals.
All polygons have 3 or more sides having exterior angles that add up to 360 degrees and the first 10 can be classed as follows in order of their geometrical names, number of sides, sum of interior angles and number of diagonals:- 1 Triangle: 3 sides, 180 degrees and no diagonals 2 Quadrilateral: 4 sides, 360 degrees and 2 diagonals 3 Pentagon: 5 sides, 540 degrees and 5 diagonals 4 Hexagon: 6 sides, 720 degrees and 9 diagonals 5 Heptagon or Septagon: 7 sides, 900 degrees and 14 diagonals 6 Octagon: 8 sides, 1080 degrees and 20 diagonals 7 Nonagon: 9 sides, 1260 degrees and 27 diagonals 8 Decagon: 10 sides, 1440 degrees and 35 diagonals 9 Undecagon: 11 sides, 1620 degrees and 44 diagonals 10 Dodecagon: 12 sides, 1800 degrees and 54 diagonals Note that all polygons can be regular, irregular, congruent or similar
In short: The Pentagon In Long: The formula for the number of diagonals is (x*(x-3))/2 So if you make that equal to x you get 5. (x(x-3))/2=x (x^2-3x)/2=x x^2-3x=2x x^2-5x=0 x=0 or x-5=0 x=0 or x=5 x=5 Because there is no polygon with 0 sides and the pentagon is defined as a polygon with 5 sides, the pentagon is the only regular polygon with the same amount of diagonals as it has sides.
The number of diagonals for a shape with x sides is (x²-3x)/2 The number of sides is x You want to know if x is ever less than (x²-3x)/2 or else (x²-3x)/2 - x > 0 (x² - 3x) / 2 - x > 0 (x² - 3x)/2 - (2x)/x > 0 x² - 3x - 2x > 0 x² - 5x > 0 x(x-5)>0 This only true if x<0 or x>5, and since a polygon cannot have less than 2 sides, x<0 is meaningless. This means that if x<5 then the number of diagonals is less than the number of sides, equal for x=5, and more for x>5. ■
I believe that there is no such shape.
The five sided Polygon has 5 diagonals
A regular pentagon has 5 sides and all sides are equal. Therefore 2 of the sides are also equal.
The number of diagonals per vertices can be found by taking n(number of sides) minus 3, or n-3. Thus a pentagonal prism will have 5 sides per base, making the formula 5-3=2. There are 2 diagonals per vertex in a pentagonal prism. Source: My math teacher
a 2d shape with 5 sides is PENTAGON.
a shape with 5 equal sides is a pentagon
a shape with 5 sides and 2 right angles is or are a pentagon so the answer is a pentagon
20 diagonals For any n-sides polygon, the formula for the number of diagonals is (n/2) x (n-3), so for an octagon it is (8/2) x (8-3) = 4 x 5 = 20.
Yes. A polygon has n(n-3)/2 diagonals, so if n=5: 5(2)/2 =5
A pentagon is a shape that has 5 sides.