Areas of Parallelograms and Triangles

Areas of Parallelograms and Triangles:

The simplest way to understand what a Parallelogram is by using a figure.As we can see to the left is a perfect example of a parallelogram,In geometry, a parallelogram is a quadrilateral with two pairs of parallel sides. In Euclidean Geometry, the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.Let us now learn about some of the basic properties of a parallelogram:

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Opposite sides of a parallelogram are equal in length.Opposite angles of a parallelogram are equal in measure.The area, A, of a parallelogram is A = bh, where b is the base of the parallelogram and h is its height.Opposite sides of a parallelogram will never intersect.The area of a parallelogram is twice the area of a triangle created by one of its diagonals.The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.The diagonals of a parallelogram bisect each other.
• Let us now learn about Triangles,it is easy to understand about triangles and once we learn about them we can relate to objects of the similar shape around us:A plane figure bounded by three sides,or a polygon with three sides.sum of the interior angles of a triangle is equal to 180 degree exterior angles of a triangle are always equal to 360 degree,we can understand about a Triangle by studying about its Figure.

Areas of Parallelograms and Triangles:

The area of a parrellelogram can be calculated by using the formula given below:

Area = ½ bh

We are most commonly faced by questions as,how to find the area of a parrellellogram??? We can answer these questions by the following explanation:

• The area of a parallelogram can be determined by multiplying the bottom times the altitude.
• If a parallelogram has a base of length 5 inches and a height of 3 inches, its area is 5*3=15 square inches

The area of a parallelogram is given by the formula
Area = Base × Height
a = bh
Base: Any side can be measured as a base. If used to determine the area the equivalent height have to be used.
Altitude (height): The altitude (or height) of a parallelogram is the perpendicular distance from the bottom to the opposite side.
Example Problem:
Find the area of Parallelogram whose height is 5 cm and Base 20 cm.

Solution:
Area of Parallelogram = Height × base
= 5 × 20
Area of parallelogram = 100 cm²
Hope you like the above example of Areas of Parallelograms and Triangles.
Please leave your comments, if you have any doubts.