Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal. Equilateral triangle is also equilateral; that is, all three internal angles are also congruent to each other and are each 60°.

They are regular polygon, and can therefore also be referred to as regular triangles. The number of square units it takes to exactly fill the interior of a triangle. the area of an equilateral triangle is given by the formula below.

Area = b a/2

where
b is the length of the base
a is the length of the corresponding altitude

Some points to remember

1) all its sides are equal
2) all its angles are equal with 60°
3) any two equilateral triangles are similar
4) the bisector, median, altitude and right angle bisector of one side/angle are the same line.
5) the median (and all others) have the length of √3/2 S
6) the area is √3/4 S²
7) the perimeter is 3s
8)The sum of the three distance from an interior point of an equilateral triangle to its sides is constant, equal to its altitude √3/2 S
9) Six equilateral triangles form a regular hexagon

Algebra

Yesterday I was reading somewhere what is algebra. That was the time when I recalled my learning on algebra which I will be sharing with you now. Math is the study of quantity, structure, space, and some changes. In math algebra is one of the most important parts, that substitutes letters for numbers.

Algebra is simply about finding some unknown or it is about putting some real life problems into equations and then solving them. Unfortunately few textbooks go straight to the rules, procedures and formulas of algebra. Algebra can include real numbers, complex numbers, matrices, vectors etc.

Solving algebra problems are difficult but getting help from online algebra calculator makes it much easier.

Am sure that you can get solutions through this calculator. I have myself tried it and so assure your sure help.

Linear Equations

A linear equation is an algebraic equation in which each term is either a number or the product of a number. In simple words linear equations is any equation that when graphing linear equations produces a straight line. So simple a definition then why it is hard solving linear equations.

So let us start learning the basics of linear, it might help us. Linear equations can have one or more variables. It occurs with great regularity in applied mathematics. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some "background" state.

While solving linear equations adopting certain pattern helps to do it faster and easier. When any linear equation is given, first one has to check whether it is a linear equation in one variable or linear equations in two variables. Depending upon this start to solve linear equation using certain steps:

First consider the given linear equation.

Secondly, shift the constant terms to right hand side and retain terms with variables on left hand side itself. Thirdly, perform the mathematical operation required on both the sides with like terms. On solving linear equation, resultant will be the value of the variable. Following this pattern will help you to solve the equation properly.

After learning the basics we can proceed further and now it would be smoother, so give a try. Starting with the basics always help with math. So follow the pattern and see how easy linear equations become.

Learn about Rectangle

Rectangle is one of the most important geometrical shapes. It is formed with the intersection of four line segments, where opposite lines are equal. The following is the shape of the rectangle.To define rectangle in simple terms it can be said as a four sided shape where every angle is right angle also opposite sides having equal length and are parallel. it is also a polygons shape of 4 sides.
A rectangle is equiangular means its all angle measures 90 degree. In any rectangle diagonals are congruent. You can easily calculate the area of rectangle using area of a rectangle formula which is given below:

Area = Width * Height

Calculating the perimeter of a rectangle: The perimeter of a rectangle is the distance around the outside of the rectangle. The formula for finding the perimeter is given below:
P = 2 (l+w)
where l = length of the rectangle and w = width of the rectangle.

In any rectangle all angles are congruent. Here you have learnt about rectangle try and explore it.

Basic operations about fractions

Let me give you some learning on the basics operations of fractions. Let us start with adding and subtracting fractions.

You can easily add or subtract like fractions means simply add or subtract the numerators and write the sum over the common denominator.

But before adding or subtracting unlike fractions you must find equivalent fraction with the same denominator like this:

First find the smallest multiple of both numbers and then rewrite the fractions as equivalent fraction with the LCM as the denominator.

When dealing with the fractions LCM is nothing but the Least Common denominator.

Some Adding fractions example:

4/8 + 2/8 = 6/8

5/10 + 8/10 = 13/10.

Adding and subtracting fraction with different denominator:

5/4 + 2/3

First convert each fraction into an equivalent fraction with the same denominator

12 be the equivalent denominator for 3 and 4

So (5*3 )/12 + (2*4)/12 = 15/12 + 8/12 = 23/12

In the same way subtracting fraction too.

Next we will concentrate on How to divide fractions:

To divide fractions take the reciprocal of the divisor and multiply the dividend

For example

First invert the fraction that you are dividing by :4/5÷3/7 = 4/5 * 7/3

Then multiply the numerators and denominators : 4/5 * 7/3 = 28/15

This was about fraction operations I guess now you are quite familiar with fractions.Here i am leaving one link to you to know about how to divide mixed numbers.

Prime Numbers

Hi Friends,

Today let us discuss about prime numbers. First of all we have to know what is a prime number?
Prime number is nothing but a natural number but it has an own property. That is a number which is divisible by 1 and itself is called as prime number otherwise known as composite number.

In natural numbers prime number starts from 2 and there are exactly 25 prime numbers 1-100.

List of prime numbers are given below:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

The most important fact is that the only even prime number is 2.

Except 0 and 1, a number is either a prime number or a composite number.

Finally I am confident about my knowledge over prime numbers and I guess you too.

Triangle

Triangle is one of the basic shape of geometry and also a polygon of 3 sides.

Triangles are mainly classified in two 2 categories on the basis of angles and sides.

On the basis of angle there are 3 types of triangle
1. Equilateral
2. Isosceles
3. scalene

On the basis of sides there are 3 types of triangle
1. Right angled triangle
2. Obtuse angled triangle
3. Acute angled triangle

Area of a Triangle: The area of triangle is the space bounded by its sides.
Formula for find out the area is as below,
Area = 1/2*base*height

Perimeter of a triangle: The perimeter of a triangle is the sum of the length of its sides.
Formula for find out the perimeter of a triangle is given below,
P = a+b+c

These are the basic concepts of triangle.