Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon
Yes, because the sides connected to the right angle cannot extend longer than the distance between their end points.
No. A diagonal goes from corner to opposite corner, which will always be a longer distance than the side length. You can use Pythagoras' theorem to work out the length of the diagonals. It will be the square root of (a2+b2) where a and b are the long and short side lengths of the rectangle respectively. The result will clearly be greater than either a or b.
No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.
12. There is actually a better answer and much larger answer than 12. The real answer is 54. Just because a dodecagon has 12 sides doesn't mean it has 12 diagonals because you can go either which way. To get a answer for this you can: 1. Multiply 12 and 9. You should get 108. 2. Then divid it by 2. You should get 54. That is correct: The general rule for a polygon with n sides is that it has n*(n-3)/2 diagonals.
squares,rectangles,regular pentagons
yes
Do this question yourself
Yes.
The hypotenuse will always be longer than the other sides.
Any polygon with more than 4 sides.
Opposite sides are equal and parallel but diagonals are only equal in certain specific circumstances eg when all angles are equal, which makes it a square rather than a rhombus.
Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon
yes. a square always has four equal sides. a rectangle also has four sides but one set is longer than the other.
Interior angles and if it has more than 3 sides also diagonals
Usually when thinking of a rectangle we see that two parallel sides are longer than the other two. However a rectangle is just defined as having four right angles so a square can be a rectangle meaning that a rectangle may have all four sides of the same length. A square is always a rectangle. A rectangle is not always a square.
longer