1/2*(602-180) = 1710 diagonals
1/2*(142-42) = 77 diagonals
There is none. A 5 sided shape is a pentagon but that has 10 diagonals, not 2.
It works out that a polygon with 1175 diagonals has 50 sides
You are a square
88*(88 - 3)/2 = 44*85 = 3740
There are 35 diagonals inside a decagon
38 diagonals
1/2*(142-42) = 77 diagonals
Number of sides minus two equals number of diagonals drawn from one vertex.
There is none. A 5 sided shape is a pentagon but that has 10 diagonals, not 2.
A diamond shape has four sides, so it is essentially a quadrilateral. The formula for calculating the number of diagonals in a quadrilateral is (n)(n-3)/2, where n is the number of sides. In this case, n = 4, so the calculation would be (4)(4-3)/2 = 2 diagonals. Therefore, a diamond shape could have 2 diagonals drawn within it.
rhombus
64 sides = 64 angles From one angle you can draw (64 - 2) diagonals = 62. Lines from an angle to the immediately adjacent angles are sides, not diagonals.
A square and a rectangle have diagonals of equal lengths
There are 275 diagonals in a shape with 25 sides. The formula is n*(n-3)/2
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
It works out that a polygon with 1175 diagonals has 50 sides