Geometry is the field of study that deals with properties of plane figures such as points, lines, planes, and solids. Geometric figures come with the concept of measurement, and in this article, let us understand what does the term perimeter in triangles means, whether it’s the perimeter of isosceles triangle or equilateral triangle.
Geometry has many different branches, which include Euclidean geometry (the subject in which shapes are described using a number of geometric concepts), projective geometry (a variety of other mathematical geometries studied at a more abstract level than Euclidean geometry), and non-Euclidean geometries (geometries that are not purely Euclid).
Practical applications for these studies are widespread across engineering (civil or hydraulic), construction (building construction or structural design), architecture, transportation planning, manufacturing, as well as other areas where an understanding of space is required.
The perimeter is the measurement of the line segment that bounds an area or region. Triangles are the most basic geometric shape. The length of the perimeter depends on the length of the path that surrounds the figure and also the size of the figure. Larger the size means a larger perimeter. The shortest distance you can travel from one point to another is along a straight line.
But if you want to go around something (such as a triangle), it’s not possible to travel along a straight line, so you will have to travel along curves or choose an arbitrary path through points A-B, B-C and C-A, where A, B and C are the vertices of the triangle. Like, in a circle, the arc length of a circular path is equal to the circumference of its entire perimeter, so we can say that the circumference is an example of a perimeter.
The perimeter can also be defined as the distance around the outside of a polygon. A triangle is a polygon with three sides; hence its perimeter would simply be the sum of all three sides. A right-angled triangle is where one angle is equal to 90 degrees, and the triangle’s two sides are hence meant to be perpendicular to each other. The perimeter of right angled triangle would be equal to the sum of three sides. If any one side is unknown, then the Pythagoras theorem can be used to find the third side in a right-angled triangle. Pythagora’s theorem states that the sum of the squares of the base and height in a right-angled triangle is equal to the square of its hypotenuse.
At first glance, it may seem like geometry is just about triangles and shapes. However, there is so much more involved, and not many books and classroom lectures explain this in full detail when introducing the topic. Hence, the students must make use of geometry measurement worksheets which will focus on the measurement aspects like area, perimeter, and volume of figures and objects in two dimensions and three-dimension as well.
Students can visit the Cuemath website and download the relevant geometry topic worksheet for their practice. These worksheets will not only help students learn how to calculate and measure geometric figures such as squares, rectangles, triangles, circles but also will help them practice math skills they have been taught up until this point. The more they practice, the better the application. Using the geometry worksheets as a resource for learning will allow students to develop problem-solving skills. Students need to be able to identify a problem, make an observation about the problem, and then create a solution.