about a trapezium?
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Answers
Answer:
it is a quadrilateral with two parallel sides.2)it has two non-parallel sides.3) sum of all 4 angles of trapezium is 360°.4) the diagonals of trapezium bisect each other.
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Note on Trapezium
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What is Trapezium?
The trapezium is a quadrilateral with two parallel sides. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs. It is also called as a trapezoid.
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Types of Trapezium:-
The trapezium is further categorised into three different types namely.
- Isosceles trapezium – The legs or the non-parallel sides of the trapezium are of equal length.
- Scalene Trapezium – A trapezium with all the sides and angles of different measures
- Right Trapezium – A right trapezium has at least two right angles
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Properties of Trapezium
- In trapezium, exactly one pair of opposite sides are parallel
- The diagonals intersect each other
- The non-parallel sides in the trapezium are unequal except in isosceles trapezium
- The line that joins the mid-points of the non-parallel sides is always parallel to the bases or parallel sides which is equal to half the sum of the parallel sides.
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Area of Trapezium:-
Area of a Trapezium, A = h(a+b)/2 square units.
Where, “a” and “b” are the bases “h” is the altitude or height.
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Perimeter of Trapezium:-
The perimeter of Trapezium, P = a + b+ c + d units
Where, “a, b, c, d” are the sides of the trapezium.
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