Trapezium

Trapezium: Shape, Types, and Properties

A trapezium is a quadrilateral with two parallel sides. It is a type of parallelogram. The two parallel sides are called the base and the other two sides are called the legs. The angles between the base and the legs are called the angles of the trapezium.

Shapes

A trapezium is a four-sided polygon with two of its sides being parallel. The other two sides are not parallel and are called the bases of the trapezium. The distance between the two bases is called the height of the trapezium.

Types of Trapezium

There are four types of trapezium:

1. The first type is an isosceles trapezium, which has two pairs of parallel sides.

2. The second type is a right trapezium, which has one pair of parallel sides and one pair of right angles.

3. The third type is an acute trapezium, which has one pair of parallel sides and two pairs of acute angles.

4. The fourth type is a obtuse trapezium, which has one pair of parallel sides and two pairs of obtuse angles.

Isosceles Trapezium:

A trapezium is a four-sided figure that has two parallel sides and two non-parallel sides. The two parallel sides are called the bases, and the two non-parallel sides are called the legs. An isosceles trapezium is a trapezium where the two legs are of equal length.

A trapezium is a four-sided figure that has two parallel sides and two non-parallel sides. The two parallel sides are called the bases, and the two non-parallel sides are called the legs. An isosceles trapezium is a trapezium where the two legs are of equal length.

An isosceles trapezium is a special type of trapezium where the two legs are of equal length. This means that the two bases are also of equal length. An isosceles trapezium is often drawn with its bases connected by a line, as shown in the diagram.

Isosceles trapeziums have a few special properties. First, the angles at the two bases are equal. This is because the bases are parallel, and therefore the angles between them are also equal. Second, the angles at the two legs are also equal. This is because the legs are equal in length, and therefore the angles between them are also equal.

Finally, the area of an isosceles trapezium is given by the formula:

A = (base1 × height) + (base2 × height)

Where height is the distance between the two bases.

Scalene Trapezium:

A scalene trapezium is a trapezium in which all four of the sides are of different lengths.

Properties of Trapezium

A trapezium is a quadrilateral with two parallel sides.

The two parallel sides are called the bases, and the other two sides are called the legs.

The angles between the two parallel sides are called the angles of the trapezium.

The length of the two parallel sides is called the base length.

The height of the trapezium is the perpendicular distance from one base to the other.

Area of Trapezium

A trapezium is a four-sided figure with two parallel sides and two non-parallel sides. The two parallel sides are called the bases, and the other two sides are called the sides. The distance between the two bases is called the height, and the distance from one base to the opposite side is called the width.

The area of a trapezium is equal to the product of the height and the width, divided by two

Perimeter of Trapezium

A trapezium is a quadrilateral with two parallel sides. The perimeter of a trapezium is the sum of the lengths of its four sides.

To find the perimeter of a trapezium, we need to find the length of each side. The length of a side is the distance between the two parallel sides.

The length of a side can be found using the formula:

s = (a + b) / 2

where a is the length of the first side, and b is the length of the second side.

We can use this formula to find the length of each side of the trapezium:

s1 = (12 + 10) / 2

s2 = (10 + 6) / 2

s3 = (6 + 8) / 2

s4 = (8 + 4) / 2

The perimeter of the trapezium is:

P = s1 + s2 + s3 + s4

P = (12 + 10) + (10 + 6) + (6 + 8) + (8 + 4)

P = 42

 

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