Length of parallel sides (a) = 7cm, b = 5cmĪrea of given isosceles trapezoid is 24cm 2. Question 1: What is the area of isosceles trapezium if the length of parallel sides are 7cm, 5cm and height is 4cm. 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. 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. Isosceles Trapezoid is a trapezium with congruent base angles and congruent non parallel sides. There are three types of Trapezoids and Isosceles Trapezoid is one of its type. Trapezoid is a quadrilateral in which a pair of opposite sides are parallel. 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. The unique property about the trapezoid is that it has only one pair of parallel sides. ![]() All the Generic Trapezoid formulas are validĪs a quadrilateral, the trapezoid is a four-sided shape.The angles adjacent to their respective bases are congruent.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. 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. 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. The line segment joining the midpoints of the parallel sides is perpendicular to the bases.The sum of opposite angles is 180° or supplementary. ![]() ![]() The remaining sides other than the base are non-parallel and are equal in length.One pair of sides is parallel and they are the base sides.It has no rotational symmetry and one line of symmetry joining the midpoint of the parallel sides. Properties of Isosceles Trapezoidįollowing are the properties of an isosceles trapezoid according to the figure given below. ![]() 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. In other words, if two opposite sides (bases) of the trapezoid are parallel, and the two non-parallel sides are of equal lengths, then it is an isosceles trapezoid. Isosceles Trapezoid DefinitionĪn isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure. An isosceles trapezoid has many interesting properties that make it unique and help us differentiate it from the other quadrilaterals. A trapezoid is a quadrilateral with only one of its sides parallel.
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