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Articles by Praveen Varghese Thomas
Page 13 of 75
Equilateral Triangle
Introduction Equilateral triangle is a triangle in which all three sides have the same length . Triangle traces can be found all over the world, especially in architecture. They were well-liked by the ancient Egyptians. Triangles are divided into three types based on the length of their sides. The triangles are isosceles, scalene, and equilateral. An Equilateral triangle is a triangle with three equal sides and angles. As each angle of an equilateral triangle is 60 degrees, it is also referred to as an equiangular triangle. The opposite side of an equilateral triangle is divided into equal lengths by a ...
Read MorePrinciple of Mathematical Induction
Introduction Mathematical induction involves principles which are a specific technique to prove theorems and statements in algebra which are expressed in the form of n; where n belongs to natural numbers. In mathematical induction any statement is proved for n=1 and then for any variable. What is PMI? Mathematical Induction can be described as a tool to prove any statement A(n) which can hold for natural numbers n=1, 2, 3, 4, 5......n. Mathematical Induction is based on some principles called the principle of mathematical induction (PMI). In order to prove a result for a statement A(n), we can use the ...
Read MoreProbability And Statistics Symbols
Introduction Probability is simply a useful description (in the form of a mathematical model) for experiments whose exact outcome is difficult to predict in advance. When you toss a coin, it's tough to know in advance if a head or a tail will appear. When you can't predict the exact outcome, it's often useful to try to characterize every outcome that could occur along with a numerical description as to which are the most likely to occur. The numerical description you choose can be based on your experience, knowledge of physics, ...
Read MoreRectangular Pyramid
Introduction Rectangular Pyramid is a three-dimensional solid figure with a rectangular base and four triangular flat surfaces. There are many types of pyramids, such as the square pyramid, triangular pyramid, pentagonal pyramid, and hexagonal pyramid concerning the shapes of the base and the number of triangle surfaces. The surfaces of the pyramid are plane figures with straight lines, which can also be called polygons. If a solid figure is made up of polygons then it is called a polyhedron. Rectangular pyramids, or pyramids in general, are Polyhedrons. One of the common types of the pyramid is the rectangular pyramid. The ...
Read MoreAdditive Identity vs Multiplicative Identity
Introduction Additive Identity and Multiplicative Identity are two different identity properties of numbers. Addition & multiplication are basic arithmetic operations in mathematics. Addition is the process of adding things or number together whereas multiplication is the process of calculating the product of two or more numbers. It is a repetitive addition. For example, if a is multiplied by b, it means a is added itself to n times or vice versa. It is used to combine groups of equal size. Additive identity & multiplicative identity are properties of addition & multiplication. When we added a number to other numbers, the ...
Read MoreDenominator
Introduction A denominator is the number that appears below the horizontal line. In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. The denominator is the fraction's divisor. In a fraction, the denominator is the number or integer that lies below the horizontal line. A fraction's numerator is above the line. If a denominator is equal to 0, the result is an indefinite value. In this tutorial, we will discuss the denominator, ...
Read MoreAngles of a Parallelogram
Introduction Angles of a parallelogram ‘s sum is 360 degrees. A parallelogram has four interior angles, and the total of those interior angles is always 360°. In a parallelogram, the adjacent angles are supplementary, and the opposing angles are equal. Let's read in greater detail about the characteristics of a parallelogram's angles. Following is the geometrical figure parallelogram IJKL in which $\mathrm{IJ\:=\:LK\:}$ & $\mathrm{JK\:=\:IL}$ $$\mathrm{IJ\:\rVert\:LK\:\:, \:JK\rVert\:IL}$$ that is opposite edges are equal and parallel and diagonals are bisectors of each other they intersect at the point O. In parallelogram opposite angles are of the same measure i.e., $\mathrm{\angle\:I=\:\angle\:k}$ & ...
Read MoreAlgebra – Linear Equations Applications
Introduction Linear equations have numerous applications in mathematics. An equation may be defined as an algebraic expression equated to constant or other expressions. An equation with the highest exponential power of variables equal to one is called a linear equation. Mathematical expressions can be used to solve word problems. Mathematical knowledge is usually applied through word problems coded in the form of expressions. In this tutorial, we will understand linear equations, algebra of linear equations, solving linear equations, one equation, one variable, two equations, two variables, and some solved examples. Linear Equations An equation consisting of one or more variables ...
Read MorePrime Factorization and Division Method For HCF
Introduction The prime factorization and highest common factor (HCF) are two fundamental concepts in arithmetic. Factorization includes the split of an integer into several equal parts. They are extensively used for exchanging money, comparing prices, making arithmetic calculations, optimizing resources, etc. In this tutorial, we will learn about the HCF, methods to find HCF, prime factorization, and repeated division formula with solved examples. Factors The factor is defined as an integer when it divides a number; the remained results in zero. In other words, if the product of two integers results in a third number, then the two integers are ...
Read MoreParallel Lines and Angle Relationships
Introduction Parallel lines are lines never meet at any point, and the distance between two lines is the same. In geometry, straight lines may be intersecting or non-intersecting lines. Intersecting lines make an angle with each other, whereas non-intersecting lines do not make any angle with each other. Parallel lines are lines which do not intersect each other. Each point in a parallel line is equidistant from its corresponding point in the other line. Intersecting lines make angles among themselves from 0 degree to 360 degrees. In a two-dimensional plane, two or more lines can be intersect, parallel, and perpendicular ...
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