## Trapezoid Parallel SidesA bases, and the non-parallel sides are legs. It may have parallel legs. When the parallel sides make the two or when the equal angles, it is called two non-parallel sides are equalisosceles trapezoid.The parallel sides of the trapezoid can be vertical, horizontal, and slanting. The perpendicular distance between two parallel sides is called its altitude. ## Properties of Trapezoid- A trapezoid's two opposite sides (one pair) are parallel.
- Its two diagonals intersect each other.
- A line connecting non-parallel sides at mid-points is always parallel to the bases and half of the sum of parallel sides.
- The angles formed on the same side of a leg are called a
*djacent angles*, and these angles are supplementary. - If all the opposite sides are parallel in trapezoid is called a
*parallelogram*. - If all the opposite sides are parallel, all its sides are equal in length and form a right angle at each point called a
*square*. - If all the opposite sides are parallel, their opposite sides are only equal in length and form a right angle at each point called a
*rectangle*.
## Types of TrapezoidThe trapezoid is categorized into three different types. These are the following: **Right trapezoid:**when its two angles are right angles, called a right trapezoid.**Isosceles trapezoid:**When its two non-parallel sides are equal in length called isosceles trapezoid.**Scalene trapezoid:**when none of its sides are equal in length or not any equal angles called scalene trapezoid.
## Area of TrapezoidWhere
Look at the below figure of a trapezoid with the unit of length 3, 10, 11, 8, which has 7 units of perpendicular height. ## Area of Isosceles TrapezoidSuppose that Where, Now, CD = b1, AB = b2, and AD = BC = s When we draw a perpendicular line (h) from AB to meet CD at E, it makes a right angle at AED and AEC. Then the perpendicular height (h) is: ## Perimeter of a trapezoid (trapezium)The addition of all four sides of a trapezoid is known as the perimeter of a trapezoid. The formula to calculate the perimeter of a trapezoid is given below: Perimeter of trapezoid ( Where a, b, c, d are the sides of the trapezoid. For example: Calculate the perimeter of the below-given trapezoid: P = a + b + c + d = 3 + 10 + 11 + 8 = 32 unit ## Perimeter of isosceles TrapezoidIf
For example: assume that the length of parallel sides of isosceles trapezoid is 12 and 10 units and the length of non-parallel sides is 5 units each. Then calculate its perimeter: Given, b1 = 12, b2 = 10, and s = 5 Perimeter of isosceles trapezoid (P) = b1+ b2 + 2s = 12 + 10 + 2(5) = 12 + 10 + 10 = 32 unit ## Median of a TrapezoidA of a trapezoid.midsegmentThe length of median (m) = We can calculate the trapezoid area if we know the length of the trapezoid's median and height. It is the median times of height:
## Adjacent angles of a trapezoidThe angles formed on the same side of a leg (line) are called . In the below-mentioned trapezoid diagram, angles ∠A and ∠D are adjacent angles and supplementary. In the same way, ∠B and ∠C are supplementary.supplementaryWhen the sum of two angles became,
According to adjacent angles property of trapezoid A + D = 180 125 + ∠D = 180 ∠D = 180 - 125 ∠D = 55 degree ## Trapezoid vs Trapezium
Next TopicComplex Numbers |