What is a Parallelogram What is a Parallelogram What is a Parallelogram? Let’s discuss an important math topic i.e. Parallelogram is a convex quadrilateral having two pairs of parallel sides. In the parallelogram, the opposite side or facing side length are equal. And opposite side angle of a Parallelogram are of equal length. It is having two pairs of a parallel side in a geometric figure. It is special type of a quadrilateral. Opposite sides and opposite angles are in equal length. I can break the parallelogram into three different sections: two right triangles and one big rectangle. Two right angle triangles are situated at the ends of the parallelogram when you break the parallelogram up; the two sections are slanted. From the end of the parallelogram you would drop a line down on the point. Using formula A = (length * width) for rectangle and A = ½ (breadth * height) for each of the right triangles. Example: - let the length of a rectangle is 20 and width of a rectangle is 30. Find the area of a rectangle.
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Solution: - we know that the area of a rectangle is: A = (length * width) Given, length = 20; Width = 30; then the area of rectangle is A = 20 * 30 A = 600 Example: - let the breadth of a right triangle is 15 and height of a right angle triangle is 25. Find the area of a right angle triangle. Solution: - we know that the area of a right angle triangle is: A = ½ (breadth * height) Given, breadth = 15; Height = 25; then the area of a right angle triangle is A = ½ (15 * 25) A = ½ (375) A = 187.5 Example: - if two streets intersected with each other, and you wanted to make a building at the corner whose sides are parallel t the streets, then we can say that it is a parallelogram. Some properties of Parallelogram are:
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We will never intersect a parallelogram because Opposite sides of a Parallelogram are parallel. And area of a Parallelogram is twice the area of a triangle. It is created by one of its diagonals. And the area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides. Any line which passes through the midpoint of a parallelogram bisects the area of a parallelogram. Any non-degenerate transform takes a parallelogram to a parallelogram. It has a rotational symmetry of order 2. It must be rhombus. 2(P + Q) is the perimeter of a parallelogram where P and Q are the length of the adjacent sides. In the interior of a quadrilateral, if the sum of the distances from a point independent of the location of the point, then we can say that the quadrilateral is a parallelogram. The area of a parallelogram, the area of a rectangle is equals the product of its sides. And the area of a parallelogram is equal to the product of one of its side and distance between the sides and its parallel mate. And the diagonal of a parallelogram bisects each other. This is all the about the parallelogram, and its properties and also area of a parallelogram.
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