Do Concave Quadrilaterals Have Diagonals?
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A convex quadrilateral has all its interior angles measuring less than 180° and has both the diagonals lying inside the closed figure. In contrast, a concave quadrilateral has one of its interior angle measuring more than 180° and one of its diagonals lie outside the closed figure.
How to calculate the number of diagonals in a quadrilateral?
Since, a quadrilateral is a four-sided polygon, we can obtain the number of diagonals in a quadrilateral by using the formula given below: The number of diagonals in a polygon = n (n – 3)/2, where n = number of sides of the polygon
Can a quadrilateral have all sides have integer lengths?
It is easy to construct a quadrilateral in which all sides, and all diagonals, have integer lengths. Just take a rectangle with integer sides a & b, such that a^2 + b^2 = c^2 (where c is also an integer).
How many sides does a concave polygon have?
A Concave polygon is a polygon that has at least one interior angle greater than 180 degrees. It must have at least four sides. The shape of the concave polygon is usually irregular. A concave polygon is a polygon which is not convex. This polygon is just the opposite of a convex polygon.