![]() Polygons that do not have equal sides and equal angles are referred to as irregular polygons. The area of the triangle can be obtained by:Īrea of polygon ABCD = Area of triangle ABC + Area of triangle ADC. Thus, we can divide the polygon ABCD into two triangles ABC and ADC. The polygon ABCD is an irregular polygon. Thus, in order to calculate the area of irregular polygons, we split the irregular polygon into a set of regular polygons such that the formulas for their areas are known. Let us look at the formulas: Area of Irregular PolygonsĪn irregular polygon is a plane closed shape that does not have equal sides and equal angles. Therefore, an irregular hexagon is an irregular polygon.Ĭalculating the area and perimeter of irregular polygons can be done by using simple formulas just as how regular polygons are calculated. Since the sides are not equal thus, the angles will also not be equal to each other. By the below figure of hexagon ABCDEF, the opposite sides are equal but not all the sides AB, BC, CD, DE, EF, and AF are equal to each other. The measurement of each of the internal angles is not equal. However, sometimes two or three sides of a pentagon might have equal sides but it is still considered as irregular.Ī hexagon is considered to be irregular when the six sides of the hexagons are not in equal length. And, ∠x ≠ ∠y ≠ ∠z, where ∠y = 90°.Ī pentagon is considered to be irregular when all five sides are not equal in length. In the right triangle ABC, the sides AB, BC, and AC are not equal to each other. Therefore, the lengths of all three sides are not equal and the three angles are not of the same measure. Hence, the rectangle is an irregular polygon.Ī right triangle is considered an irregular polygon as it has one angle equal to 90° and the side opposite to the angle is always the longest side. In the given rectangle ABCD, the sides AB and CD are equal, and BC and AD are equal, AB = CD & BC = AD. RectangleĪ rectangle is considered an irregular polygon since only its opposite sides are equal in equal and all the internal angles are equal to 90°. All the three sides and three angles are not equal. In the triangle, ABC, AB = AC, and ∠B = ∠C. All three angles are not equal but the angles opposite to equal sides are equal to measure and the sum of the internal angles is 180°. Thus, we can use the angle sum property to find each interior angle.Īn isosceles triangle is considered to be irregular since all three sides are not equal but only 2 sides are equal. Also, angles ∠P, ∠Q, and ∠R, are not equal, ∠P ≠ ∠Q ≠ ∠R. ![]() In the triangle PQR, the sides PQ, QR, and RP are not equal to each other i.e. Scalene TriangleĪ scalene triangle is considered an irregular polygon, as the three sides are not of equal length and all the three internal angles are also not in equal measure and the sum is equal to 180°. ![]() However, we are going to see a few irregular polygons that are commonly used and known to us. Resource ExamplesĬlick any of the example images below to view a larger version.There are different types of irregular polygons. Not quite right for your class? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience. These are ready-to-use worksheets aimed at students 7-9 years of age.Įach ready to use worksheet collection includes 10 activities and an answer guide. This is a fantastic bundle that includes everything you need to know about Scalene Triangles across 21 in-depth pages. Scalene Triangles (Summer Camp Themed) Math Worksheets It also has three angles with different measurements.A scalene triangle has three sides with different lengths.As a result, all angles of the scalene triangle also have different measurements A scalene triangle is a triangle with all sides having different lengths. ![]()
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