15
1/2*(152-3*15) = 90
The shape you are describing is a rhombus. A rhombus has two pairs of parallel sides, with opposite sides being equal in length. The diagonals of a rhombus are also equal in length, but they do not intersect at 90 degrees; instead, they intersect at a 90-degree angle.
A square has perpendicular diagonals. They are all the same angle (90 degrees). All sides are the same length. To find area of a square, use the formula A=4s. (Area=4xthe lenghth of the sides.)
Number of diagonals in a polygon with n sides is n*(n-3)/2 A pentadecagon has 15 sides, so n = 15 Number of diags = 15*12/2 = 90
There are 90 diagonals in a 15-sided polygon.
1/2*15*(15-3) = 90 diagonals.
A rhombus.
A parallelogram
A rectangle.
The shape you are describing is a rhombus. A rhombus has two pairs of parallel sides, with opposite sides being equal in length. The diagonals of a rhombus are also equal in length, but they do not intersect at 90 degrees; instead, they intersect at a 90-degree angle.
A kite
The sides are equal The angle between adjacent sides is 90 degrees There are two diagonals The diagonals are equal in length The diagonals make 90 degrees with each other The diagonals make 45 degrees with the sides
A square has perpendicular diagonals. They are all the same angle (90 degrees). All sides are the same length. To find area of a square, use the formula A=4s. (Area=4xthe lenghth of the sides.)
A rectangle would fit the given description
A parallelogram (or rectangle) which is not a rhombus (or square).
It is a kite that has diagonals that intersect each other at 90 degrees.
90. Number of diagonals = number_of_sides × (number_of_sides - 3) ÷ 2 → For a Pentadecagon which has 15 sides: Number of diagonals = 15 × (15 - 3) ÷2 = 15 × 12 ÷ 2 = 90
Let the sides be n and use the formula for the diagonals of a polygon:- If: 0.5*(n^2 -3n) = 90 Then: n^2 -3n -180 = 0 Solving the above quadratic equation: n = -12 or n = 15 Therefore the polygon has 15 sides