Vertex of a Triangle

Let us study Vertex formula of a Triangle,
Area of equilateral triangle (A) = a² x square units

a – side length

Perimeter of equilateral triangle (P) = a + a + a units

= 3 a units

Sides of equilateral triangles are equal in length. By using the distance formula we can find the distance between two vertex points of the equilateral triangle. The distance is the side length of equilateral triangle.

Distance between two vertices (a) =

I hope the above explanation was useful.

Find percentage

Find percentage:Percentages are numerators of fractions with denominator 100 and have been used in comparing results. Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred’. Per cent is represented by the symbol % and means hundredths too.Finding percentages is one key topic in mathematics.Let us find percentage for the given problems.We can learn how to do percentages with the help of exaples.For ex:

Percentage means multiply by 100

Convert 0.47 to percentage

0.47 multiply by 100

=0.47 *100

= 47 %

Calculate the following 300 % of 30

Sol:

300 % means (300/100) = 3

Then multiply to the another number

= 3 *30

=90

The answer is 90.Hope you like the above example of Finding percentages.Please leave your comments, if you have any doubts.

How to divide

How to divide:Let us learn how to divide.Division means divide the groups into the equal parts. Division is similar to subtraction and opposite to multiplication. For example Ravi has 12 chocolates in hand. Ravi has two brothers and one sister. How to divide the chocolates are equal to each other. Each person gets 3 (12 /4) chocolates to each other. Here we do divide the groups (12) into equal (3) parts.Let us learn how to divide Decimals.Decimal number is a number. It must divided in to two parts. It’s known as whole number part and a fractional part. The dot (.) is calling the decimal point. Here we are going to learn about “how do divide decimals works”

Example: 841.125.

* Here the 8 represent 800.
* 4 represent 40.
* 1 represents 1 unit.
* 1 represent tenth place.
* 2 represent hundredths Place.
* Second 5 represent thousandths place.In the next Blog we will learn about How to divide fractions.Hope you like the above example of How to divide.Please leave your comments, if you have any doubts.

Geometry Constructions

Geometry Constructions:Let us now learn about Geometry Constructions,ancient scientists paid special attention to constructing geometric objects that had been described in some other way.Classical instruments allowed in geometric constructions are those with compass and straightedge.Compass constructions are very familiar.However, some problems turned out to be difficult or impossible to solve by these means alone,and ingenious constructions using parabolas and other curves, as well as mechanical devices, were found.Math constructions are different from geometric constructions.Hope you like the above example of Geometry Constructions.Please leave your comments, if you have any doubts.

Factoring of polynomials

Factoring of polynomials:Factoring of polynomials is the reverse process of multiplying polynomials.When we factor a real number, First we are getting for prime factors for real number that multiply together to give the same real number.For example, 32 = 4 x 4 x 2.When we are going to factor a polynomial, First we need to look for simpler polynomial expressions which are multiplied each other and give the same polynomial expression what we started with.For example, 3x2 + 9x = 3x(x + 3).Let us learn Examples on factoring polynomials.Problem 1:Factor the polynomial expression: x2 – 25.Solution:The given polynomial expression is x2 – 25.

Factoring it,

x2 – 25

= x2 – 52

This is in the form of a2 – b2 = (a + b) (a – b)

So,

= (x + 5)(x – 5)

Therefore, the factors are (x + 5)(x – 5).

Solving it,

x + 5 = 0

x = - 5

x - 5 = 0

x = 5

Therefore, Solutions are x = 5 , - 5.Let us learn in brief about Factoring Polynomials by Grouping.Factoring polynomials by grouping method is used for the expressions containing more than three terms.Hope you like the above example of Factoring of Polynomials.Please leave your comments, if you have any doubts.

Equation of a Line

Let us learn about Equation of a Line.An equation that defines a straight line is referred as the equation of the line.To Find equation of a line is very simple. We can find the equation of a line for the following conditions,if the slope and y intercept is given,if the slope and a point is given,if two points on the line are given.We can also learn how to write equation of a line,once we learn what equations mean.Hope you like the above example of Equation of a Line.Please leave your comments, if you have any doubts.

Introduction of Algebraic fractions

Are you having a tough time with Algebra ? Let me explain Algebraic Fractions,

Introduction to Algebra fraction solve: Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Here we are going to study about How to solve algebra fraction and its example problems.
Algebra fraction: In algebra fraction is a simple fraction it contains algebraic expression in either numerator or denominator.

Ex: = 3

I hope the above explanation was useful, now let me explain about fraction converter.