![]() Look at the image below-showing sides c and d are equal in lengths and opposite sides a and b (bases of the trapezoid) are parallel to each other. Properties of Isosceles Trapezoidįollowing are the properties of an isosceles trapezoid according to the figure given below. ![]() It has no rotational symmetry and one line of symmetry joining the midpoint of the parallel sides.One pair of sides is parallel and they are the base sides.The remaining sides other than the base are non-parallel and are equal in length.The sum of opposite angles is 180° or supplementary.The line segment joining the midpoints of the parallel sides is perpendicular to the bases.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 (PQ ⊥ DC)įollowing are the formulas to calculate the area and perimeter of the isosceles trapezoid. Perimeter of Isosceles Trapezoid = sum of all sides Examples on Isosceles Trapezoid To find the perimeter of the isosceles trapezoid we have to add all the sides of the isosceles trapezoid. The formula to calculate the perimeter of an isosceles trapezoid is Perimeter = sum of all sides of the isosceles trapezoid Isosceles Trapezoid DefinitionĪn isosceles trapezoid is a trapezoid with oblique sides congruent. ![]() The angles adjacent to their respective bases are congruent.All the Generic Trapezoid formulas are validĪs a quadrilateral, the trapezoid is a four-sided shape.The unique property about the trapezoid is that it has only one pair of parallel sides. The Perimeter of isosceles trapezoid formula is Isosceles TrapezoidĪn isosceles trapezoid (called an isosceles trapezium by the British Bronshtein and Semendyayev 1997, p. 174) is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.įrom the Pythagorean theorem, Isosceles Trapezoid Formulas There are two isosceles trapezoid formulas Isosceles trapezoid is a type of trapezoid where the non-parallel sides are equal in length. ![]() Trapezoid is a quadrilateral in which a pair of opposite sides are parallel. There are three types of Trapezoids and Isosceles Trapezoid is one of its type. Isosceles Trapezoid is a trapezium with congruent base angles and congruent non parallel sides. A trapezium is called an Isosceles trapezoid when two opposite sides (Bases) are parallel and the other two sides (legs) are of the same length.Īrea and Perimeters are the formulas of Isosceles Trapezoid. To get more understanding let’s solve a few examples Sample Problems on Area of Isosceles Trapezium The area of the Isosceles Trapezoid can be calculated by adding the lengths of two parallel sides (bases) and dividing this by 2 and multiplying the result with the height of the trapezium to get the area. Question 1: What is the area of isosceles trapezium if the length of parallel sides are 7cm, 5cm and height is 4cm. Length of parallel sides (a) = 7cm, b = 5cmĪrea of given isosceles trapezoid is 24cm 2. So from given area, base lengths the height of an isosceles trapezium is 4.8cm Perimeter of Isosceles Trapezoid Length of parallel sides (a) = 6cm, b = 4cm Question 2: Find the height of isosceles trapezium if the length of parallel sides are 6cm, 4cm and area is 24cm 2.
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