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– Opposite sides of a rectangle and square are parallel. A quadrilateral is a rhombus, if. All the sides are of equal length-specified 2 pairs of sides are parallel to each other. A kite is a special sort of quadrilateral, in which 2 pairs of adjacent sides are equal to each other. Quadrilaterals Solved Examples
Its perimeter is 8 cm then, what is the length of the adjacent sides. Q. If → a a n d → b are the vectors − − → A B a n d − − → B C determined by the adjacent sides of a regular hexagon.
Parallelogram. 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. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
Where a and b are the length of adjacent sides of the parallelogram and x is the angle between the sides of the parallelogram. Example: The angle between any two sides of a parallelogram is 90 degrees. If the length of the two adjacent sides are 3 cm and 4 cm, respectively, then find the area. Solution: Let a = 3 cm and b=4 cm. x = 90 degrees
The adjacent sides of a parallelogram have length 20 c m and 12 c m. The distance between the two shorter sides is 5 c m . Find the area of parallelogram and the distance between the longer sides.
The fundamental properties of rectangles are: A rectangle is a quadrilateral. The opposite sides are parallel and equal to each other. Each interior angle is equal to 90 degrees. The sum of all the interior angles is equal to 360 degrees. The diagonals bisect each other.
Rhombus. In Euclidean geometry, a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees. This is the basic property of rhombus. The shape of a rhombus is in a diamond shape. Hence, it is also called a diamond. Check lines of symmetry in a rhombus.
A trapezium with all the sides and angles of different measures is called a scalene trapezium. Right Trapezium A right trapezium is a trapezium that has at least two right angles, adjacent to each other. Irregular Trapezium. We know, a trapezium has exactly one pair of parallel sides and the other two sides are non-parallel.
Q. 6: Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal. Solution: Given, Ratio of the adjacent sides of the rectangle = 5 : 12 Let 5x and 12x be the two adjacent sides. We know that the sum of all sides of a rectangle is equal to its perimeter. Thus,
Kite. It is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other. Some points about quadrilaterals to be kept in mind are: Square, rectangle, and rhombus are types of parallelograms. A square is a rectangle as well as a rhombus. The rectangle and rhombus are not a square.