Step 3: Since BF = 90 m, AE will also be equal to 90 m because AB is parallel to DC.Step 2: According to the Pythagoras theorem, BC 2 = BF 2 + FC 2.So, we can calculate the value of BC using the Pythagoras theorem. We can see that BFC is a right-angled triangle. Step 1: If we take triangle BFC, it is given that BF = 90 m and FC = 80 m.Solution: Using the given dimensions, we can find the missing sides AD and BC. Let us understand this with the help of an example.Įxample: Find the perimeter of a trapezoid ABCD if its dimensions are given as follows: AB = 120 m, DE = 50 m, EF = 120 m, FC = 80 m, BF = 90 m. In such cases, we use the given sides of the trapezoid and apply the Pythagoras theorem and other properties to find the missing side and then the perimeter can be calculated. The perimeter of a trapezoid can be calculated even if there is a missing side. ∴ The perimeter of the trapezoid is 19 units. Thus, the perimeter of the trapezoid is P = Sum of lengths of all sides Solution: Given, the lengths of parallel sides are 5 units and 7 units, and lengths of non-parallel sides measure 3 units and 4 units. Step 3: Once the value of the perimeter is obtained, write the unit with the value thus obtained.Įxample: Find the perimeter of a trapezoid whose parallel sides measure 5 units and 7 units while the non-parallel sides measure 3 units and 4 units.Step 2: Add the length of all the sides.Step 1: Write the dimensions of all the sides of the trapezoid.The area of a trapezoid is computed by finding the average of two bases and multiplying it with the altitude or height.The perimeter of the trapezoid can be found by using the following steps: An isosceles trapezoid is shown below:Ī scalene trapezoid doesn't have equal sides or angles. A right trapezoid is shown below:Īn isosceles trapezoid has two of its non-parallel sides equal in length. Types of Trapezoids Right TrapezoidĪ right trapezoid has two right angles. In the next section, we will discuss different types of a trapezoid. The following equation will be true for this trapezoid: Suppose there is a trapezoid with sides a, b, c, and d and its diagonals are p and q.The point of concurrency of the diagonals of the trapezoid is collinear to the midpoints of two opposite sides.The median of the trapezoid will be parallel to the bases and its length will be equal to the average of the length of its bases.The diagonals and base angles of an isosceles trapezoid are equal.Some of the important properties of the trapezoid are given below: Like other geometrical figures, trapezoids have their unique properties that set them apart from other figures. In the next section, we will discuss certain properties of the trapezoid. A quadrilateral is a figure having four sides. Hence, we can say that a trapezoid is a type of quadrilateral. However, the first school of thought does not consider a parallelogram a trapezoid. If the argument of the second school is accepted then we can say that a parallelogram is also a trapezoid because it has more than one pair of parallel sides. On the other hand, the other school argues that a trapezoid can have more than one pair of parallel sides. One school says that a trapezoid has only one pair of parallel sides. There are two schools of thought on the definition of the trapezoid or trapezium. The shape of the trapezoid resembles that of a square, rectangle, and parallelogram. An altitude of a trapezoid refers to the distance between two parallel sides. On the other hand, the legs or lateral sides of the trapezoids are those sides that are non-parallel. The bases of trapezoids are the sides that are parallel to each other. These two-dimensional figures cover some areas and have their perimeters. Trapezoids, also known as a trapezium, are four-sided geometrical figures. The quadrilateral having two parallel sides is known as a trapezoid Before discussing the types and properties of trapezoids, first, let us define a trapezoid. In this article, we will discuss what are trapezoids, their properties, different types, and how to calculate their area and perimeter.
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