subject: Two Dimensional Geometry [print this page] Geometry:Geometry:
Geometry is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space.
Two dimensional:
In mathematics and physics, the dimensional of a space or object is informally defined as the minimum number of coordinates needed to specify each point within it.A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it.
Topics Involved in Two Dimensional Geometry:
Coordinate Systems in the Plane
Plane Symmetries or Isometries
Other Transformations of the Plane
Lines
Polygons
Circles
Conics
Special Plane Curves
In this article we are going to learn about two dimensional geometry polygons.
Polygons in Two Dimensional Geometry :
Polygons in two dimensional geometry have two coordinates called as x and y coordinates.There are many types of two dimensional polygons such as ,
Triangles
Square
Parallelogram
Rhombus
Kite
Trapezoid
Rectangle
Circle
Ellipse
AX
Two dimensional geometry polygons
Let us see some problems on two dimensional geometry polygons.
Problems on Two Dimensional Geometry Polygons:
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1.Find the area of the triangle whose height is 5 cm and base 9 cm.
Solution:
Given Height of a triangle is 5 cm
Base of triangle is 9 cm
We know that the area of the triangle is 1/2 bh.
1/2 bh = 1/2 (9)(5)
= 1/2 45
= 45/2
= 22.5cm2
So the area of the given triangle is 22.5 cm2
Problem 2:
The area of the square is 36ft2 .Find the Perimeter of the square.
Solution:
Given that Area of the square is 36ft2.
We know that the area of the square is s2 ,Where s is a side of a square.
So s2 = 36
Taking Square root on both side,
s = 'sqrt(36)'
s = 6.
so the side of the Square is 6ft.
The perimeter of the Square is sum of the 4 sides.
We know that all the sides of the square is equal.
