To find the area of a trapezoid, the lengths of two of its parallel sides is to be known and the distance (height) between them. The area of the trapezoid is calculated by measuring the average of the parallel sides and multiplying it with its height. There are two main trapezoid formulas, they are: In the below right trapezoid or right-angled trapezoid, there are two right angles one at D and the other one at A. These kinds of trapezoids are used to estimate the areas under the curve. DC and AB are parallel to each other but are of different lengths.Ī right trapezoid also called the right-angled trapezoid, has a pair of right angles. AB, BC, CD, and DA are of different lengths. In the below scalene trapezoid, all four sides i.e. When neither the sides nor the angles of the trapezoid are equal, then it is a scalene trapezoid. WX and YZ are called the legs of the trapezoid since they are not parallel to each other. In the below isosceles trapezoid XYZW, XY and WZ are called the bases of the trapezoid. An isosceles trapezoid has a line of symmetry and both the diagonals are equal in length. The angles of the parallel sides ( base) in the isosceles trapezoid are equal to each other. If the legs or non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid. To find the perimeter of the isosceles trapezoid we have to add all the sides of the isosceles trapezoid.There are three types of trapezoids, and those are given below: To find the area of the isosceles trapezoid we have to add the base sides or parallel sides and divide it by 2 and then multiply the result with height.Īrea of Isosceles Trapezoid = (sum of parallel sides/2) × h Perimeter of Isosceles Trapezoid The formulas to determine the isosceles trapezoid's area and perimeter are listed below. The parallel sides' midpoints are connected by a line segment that is perpendicular to the bases. 180° or supplementary is the product of all opposite angles.The length of the diagonals is constant.Other than the base, the remaining sides are all non-parallel and equal in length.The base sides are the only pair of sides that are parallel.An isosceles trapezoid only has one line of symmetry connecting the middle of the parallel sides and no rotational symmetry. The image below indicates that c and d are equal in lengths, while the opposite sides a and b (bases of the trapezoid) are parallel to one another.Īn isosceles trapezoid has the following characteristics:.If the two opposite sides (bases) of the trapezoid are seen to be parallel, and the two non-parallel sides are of equal lengths, then it is known as an isosceles trapezoid.A line of symmetry and equal lengths for both diagonals define an isosceles trapezoid.The parallel sides (base) of the isosceles trapezoid have angles that are equal to one another.
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