b = base of the parallelogram (AB) h = height of the parallelogram. a = side of the parallelogram


x = any angle

between the sides of the parallelogram (∠DAB or ∠ADC)

Area = ½ × d


× d


sin (y)

All Formulas to Calculate Area of a Parallelogram
Using Base and Height A = b × h
Using Trigonometry A = ab sin (x)

Jun 17, 2020

Also, What is height of parallelogram?

The height of a parallelogram is the perpendicular distance between the base and parallel side to the base of the parallelogram.

Hereof, What is the formula of diagonal of parallelogram?

FAQs on Diagonal of Parallelogram Formula

For any parallelogram abcd, the formula for the lengths of the diagonals are, p=√x2+y2−2xycosA=√x2+y2+2xycosB p = x 2 + y 2 − 2 x y cos ⁡ A = x 2 + y 2 + 2 x y cos ⁡ B and q=√x2+y2+2xycosA=√x2+y2−2xycosB q = x 2 + y 2 + 2 x y cos ⁡ A = x 2 + y 2 − 2 x y cos ⁡

Also to know Is a parallelogram? In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Are diagonals of parallelogram?

Are the Diagonals of a Parallelogram Equal? The diagonals of a parallelogram are equal. The opposite sides and opposite angles of a parallelogram are equal. And these opposite sides and angles make up for two congruent triangles, with the two diagonals being the sides of these two congruent triangles.

22 Related Questions Answers Found

Which is not parallelogram?

So, from the above definitions it is clear that trapezium is not a parallelogram, as for being a parallelogram each pair of opposite sides must be equal and parallel. … Note: Remember that square, rectangle and rhombus are parallelograms while kite and trapezium are not.

Is rhombus a parallelogram?

Every rhombus is simple (non-self-intersecting), and is a special case of

a parallelogram

and a kite. A rhombus with right angles is a square.

Type quadrilateral, trapeziod, parallelogram, kite
Edges and vertices 4
Schläfli symbol { } + { } {2


Coxeter diagram

What are different parallelogram properties?

A parallelogram has four properties:

  • Opposite angles are equal.
  • Opposite sides are equal and parallel.
  • Diagonals bisect each other.
  • Sum of any two adjacent angles is 180°

What is the best definition of a parallelogram?

: a quadrilateral with opposite sides parallel and equal.

Does a parallelogram have four right angles?

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.

What shape is a quadrilateral but not a parallelogram?

An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel.

Is trapezium a parallelogram?

A trapezium is not a parallelogram because a parallelogram has 2 pairs of parallel sides. But a trapezium only has 1 pair of parallel sides.

Is trapezoid a parallelogram?

They agree that a parallelogram is a quadrilateral with two pairs of parallel sides. … A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

Why is the area of a parallelogram?

Explanation: The area of a parallelogram is the product of the length of any one side, or its base, and the length of a segment perpendicular to that side, or its height. One way to find the area is to multiply the length of side by its corresponding altitude, .

What shape is a parallelogram but not a rhombus?

You have a trapezoid. If you have a quadrilateral with two pairs of parallel sides, you do not necessarily have a rhombus; you might have a parallelogram, or you could have a rhombus if all four sides are the same length.

Is every trapezoid a parallelogram?

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

Is a parallelogram a square?

A square is a parallelogram. This is always true. Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. … Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.

Is rhombus a square?

A rhombus is a square. This is sometimes true. Â It is true when a rhombus has 4 right angles. Â It is not true when a rhombus does not have any right angles.

What are the four properties of parallelogram?

Properties of Parallelograms Explained

  • Opposite sides are parallel. …
  • Opposite sides are congruent. …
  • Opposite angles are congruent. …
  • Same-Side interior angles (consecutive angles) are supplementary. …
  • Each diagonal of a parallelogram separates it into two congruent triangles. …
  • The diagonals of a parallelogram bisect each other.

What is the definition of parallelogram with diagram?

A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. … Sum of adjacent angles of a parallelogram is equal to 180 degrees.

What is this word parallelogram?

A parallelogram is a four-sided object that has parallel opposite sides. A square is a parallelogram. … A parallelogram is a two-dimensional object that you might have already encountered in geometry class. You can recognize a parallelogram by its parallel opposite sides, and also by its opposite angles that are equal.

What is a real life example of a parallelogram?

Desks or tables are usually rectangular or square in shape. A rectangular table consists of two pair of parallel sides that are equal in length. Hence, a rectangular is also a parallelogram. This is the reason why rectangular tables are also a prominent example of parallelogram-shaped objects used in daily life.

Can a parallelogram have right angles yes or no?

Right Angles in Parallelograms

In a parallelogram, if one of the angles is a right angle, all four angles must be right angles. If a four-sided figure has one right angle and at least one angle of a different measure, it is not a parallelogram; it is a trapezoid.

What is the most special parallelogram?

Square is the most special parallelogram, since all angles, sides, and diagonals are congruent.

Can a parallelogram have exactly two right angles?

A parallelogram is a quadrilateral with 2 pair of opposite sides parallel. … A square is a special rectangle that has all four sides congruent. A kite has two consecutive sides congruent. The angle between these two sides could be a right angle, but there would only be one right angle in the kite.