What Are the Basic Facts About the Trapezoids Which Everybody Should Know?
The trapezoid is the category of the quadrilateral that will be having two parallel sides and it is also known as the trapezium in some parts of the world. The trapezoid is the four-sided closed shape or figure that will cover some of the areas and will also have a good perimeter. It is a two-dimensional figure and not a three-dimensional figure. The sides will be parallel to each other or known as the basis of the trapezoid and the non-parallel sides will be known as the legs or the lateral sides of the trapezoid. The distance between the parallel sides is known as the altitude and the area is also explained in the further part of this particular article.
Several mathematicians consider that trapezium only has one and one pair of parallel sides while other people argue that it can also have more than one pair of parallel sides. Hence, the parallel side’s condition can be easily justified because a parallelogram can also be considered as a trapezoid and both of them are the important categories of the quadrilaterals.
The trapezium can be perfectly categorised into three broad groups which are explained as follows:
- The right trapezium will be the one that will be having a pair of right angles into it
- Isosceles trapezium will be the one in which non-parallel sides of the legs of the trapezium will be equal in length.
- Scalene trapezium will be the one in which neither the sides nor the angles of the trapezium will be equal.
The shape of the trapezium will be four-sided close the shape which will be having one pair of the sides as parallel and it will also be a two-dimensional shape or figure similar to the square, parallelogram or rectangle. This particular shape also has the perimeter and area as all other kinds of shapes. The area of the trapezium can be perfectly calculated by taking the average of two bases and multiplying it with the altitude which has been explained as follows:
The area is equal to 1/2 into A+ B into height
The perimeter of the trapezium is considered to be the sum of all the sides which is the main reason that it can be perfectly written as some of side 1 + side 2+ side 3+ side 4
The trapezium also comes with several kinds of properties which have been explained as follows:
The base angles and the diagonals of the isosceles trapezium will be equal
- If one will go with the option of drawing the median on the trapezium it will be parallel to the bases and length will be the average of the length of faces
- The intersection point of the diagonals will be collinear to the midpoint of the two opposite sides
- If there is a trapezium with four sides and diagonals P and Q that equation will be explained as follows:
B Square plus Q Square is equal 2C Square plus D Square +2 into AB
Hence, being clear about the above-mentioned formula and properties is very much important for the kids so that they never make any kind of wrong decision and can indulge in the accurate calculations of the whole process. The base angles and the diagonals of the isosceles trapezium will be equal and the intersection point of the diagonals will be collinear to the midpoint of the two opposite sides. Hence, being clear about such basic properties is vital on the behalf of kids so that they can calculate the area of trapezoid very easily. Hence, depending upon the platforms like Cuemath is the best way of ensuring that people can have a good command over the entire thing very easily and never get confused at any point in time. The experts from the house of Cuemath will always ensure that kids will be fetching good marks in the maths exams.