what is right angle triangle?

what is right angle triangle?

Triangles are one of the fundamental figures used in Euclidean geometry. There are three elements required to make a triangle. It is a

• 3-sided
• plane or two-dimensional figure, in which
• the sum of the interior angles equals exactly 180 degrees.

There are two common systems of triangle classification. One focuses on the sides and designates three types of triangle.

A right angled triangle is (you guessed it), a triangle which has a right angle (90°) in it.

There are two types of right angle triangle:

• An isosceles right angled triangle
• A scalene right angled triangle

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numeral system commonly

Let us learn about "numeral system commonly"
A numeral is a symbol or group of symbols that represents a number. Numerals differ from numbers just as words differ from the things they refer to. The symbols "11", "eleven" and "XI" are different numerals, all representing the same number. This article treats the various systems of numerals. See also number names.

A numeral system (or system of numeration) is a framework where a set of numbers are represented by numerals in a consistent manner. It can be seen as the context that allows the numeral "11" to be interpreted as the Roman numeral for two, the binary numeral for three or the decimal numeral for eleven.

A number system is a set of objects on which arithmetic operations can be performed.

The most commonly used system of numerals is known as ... system still in common use. The unary system is only useful for small numbers ... base, we write a number in the numeral system

Roman numerals are a numeral system of ancient Rome based on letters of the alphabet, which are combined to signify the sum of their values. The Roman numeral system is decimal but not directly positional and does not include a zero. The Roman numeral system is written by letters. The letter may be in either upper or lower case

I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000

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plot chart

Let us learn about "plot chart"

A plot chart shows changes over a period of time by drawing a continuous line from one data point to the next, one data point for each data sampling and one line for each attribute selected.

A chart of line plot shows that a data on a given number line with variable x or to represents the frequency. A group of data can be given, in that data should be marked on the line chart. Plot the line chart can be very easy to use and plot the line chart with sufficient data given.

Description to Line Plot Chart:

There are some rules for line plot chart, they are

Rules for line plot chart:

• Read out the whole given data.
• Find out like terms in the given data.
• Start from marking the least to highest data given.
• Start marking the same data above the line chart one by above.
• Then finish marking the data up to the last level vice versa.
• 
  

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Types of Graph

Hi Students,

Let us learn about "Types of Graph "

A graph consists of a set of nodes represented by small circles, and a set of arcs represented by lines. If a path can be found that connects all the nodes, then a graph is said to be a connected graph. If no pair of nodes is connected by more than one arc then the graph is said to be a simple graph. A graph in which each arc has an associated direction is a digraph.

There are different types of graph in the graph theory.They are given below with an example for each. In the graph theory applications we use these all the

Types of Graphs.

1. Simple Graph

2. Multiple Graphs

3. Pseudo graph

4. Null Graph

5. Finite graph

6th Types of Graph: Regular Graph

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Numeral most commonly

Hi Friends, Good Morning!!!

Let us know which are the numeral most commonly used.

Some numerals in common use are given below:

Indian numerals - Most of the positional base 10 numeral systems in the world have originated from India, which first developed the concept of positional numerology. The Indian numeral system is commonly referred to in the West as the Hindu-Arabic numeral system or even Arabic numerals, since it reached Europe

Hindu -Arabic numerals	1	2	3	4	5	6	7	8	9	10
Roman numerals	I	II	III	IV	V	VI	VII	VIII	IX	X

Numerical prefix - Numerical prefixes are prefixes usually derived from the words for numbers in various languages, most commonly Greek and Latin, although this is not always the case. Because of the common inheritance of Greek and Latin roots across the Romance languages, the import of much of that derived vocabulary

Rules of Writing Roman Number

Some rules are used in Roman number numeral system, these rules are explaining below:

(1) Multiplication Rule: If a symbol is repeated in succession, the value of the numeral is obtained by multiplying the value of the symbol by the number of times is repeated. No symbol is repeated more than three times.

Examples:

II = 1x 2 = 2

111 = 1 x 3 = 3

XX = 10 x 2 = 20

XXX = 10x3 = 30

CCC = 100x 3 =300

(2) Addition Rule: When a smaller number is written on the right of a bigger number, the smaller number is added to the bigger number.

Examples: V111 = 5 + 1 + 1+1 = 8

XX11 = 10 + 10 + 1 + 1 = 23

CX X = 100 +10 + 10 = 120

(3) Subtraction Rule: When a smaller number is written on the left of the bigger number the smaller number is subtracted from the bigger number.

Examples: 1V = 5 - 1 = 4

CM = 1000 -100 =900

XL = 50 -10 = 40

XXC = 100 – 20 = 80

Important points for writing Roman numeral number system:

(a)The symbol 1 can be subtracted only from V and X.

(b) V, L, D are never subtracted.

(c)The symbol X can be subtracted only from L and C.

(d)The symbol C can be subtracted D and M once only.

(e)There is another symbol ___ called bar. It is placed over a numeral which is multiplied by1, 000.

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Triangle

Hi Friends, Good Afternoon!!!

"triangle help wanted" Introduction.

The area of a triangle is the distance enclosed by its sides. A three-sided polygon is called a triangle.

To find the area of a triangle we need to multiply the base by the height, and then divide by 2. Here we are dividing because we know that a parallelogram can be divided into 2 triangles. You can observe from the given figure below that the area of each triangle is equal to one-half the area of the parallelogram.

As we know that the area of a parallelogram is Area = base x height so, the area of a triangle must be equal to one-half the area of a parallelogram.

Therefore, the area of a triangle = 1/2 x base x height.

In our next blog we shall learn about "triangle inequality theorem"

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quadratic formula calculator

Hi Friends

Good Afternoon!!!

Let us learn about "quadratic formula calculator"

An equation which consists of more than one terms are squared but no higher power in terms, having the syntax, ax2+bx+c where a represents the numerical coefficient of x2, b represents the numerical coefficient of x, and c represents the constant term

Example: x2- 9x+12

A quadratic function, in mathematics, is a polynomial function of the form f (x) = ax2 + bx + c , a ≠ 0.The graph of a quadratic function is a parabola whose major axis is parallel to the y-axis. The expression ax2 + bx + c in the definition of a quadratic function is a polynomial of degree 2 or second order, or a 2nd degree polynomial, because the highest exponent of x is 2.If the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the equation


In our next blog we shall learn about "inequality calculator"

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Diameter of a circle

Hi Friends

Can you guess? what we are going to learn today?

We are already learned about circle, area of a circle, circumstance of a circle and now we shall learn about "diameter of a circle".

A circle is a 2D image. The dimensions of the circle are radius and diameter. Diameter of the circle is the distance between two points on a circle which should passes through the center of a circle. Radius is same as the half of the diameter and it is a distance between a center of a circle and any point on the circle

Example

The circle has the radius 7 meter .find the diameter of the circle.

According to the question, Radius = 7 meter. [The centre of a circle bisects a diameter into two equal parts.]

Hence, diameter = 2 x (Radius) [The length of a diameter of a circle is twice the length of the radius of the circle.]

Diameter = 2 x 7

Therefore, diameter is 14 cm.

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Value of an Expression

Hi Friend

Good Afternoon!!!

Let Us Learn About Value of an Expression.

Expression:

An algebraic expression is a collection of one or more terms, which are separated by the signs + (plus) or/ and – (minus).

Value of an Expression:

The value of an expression is the numerical result when an integer is substituted in the variables of a given expression and simplified. It may be a multi-valued expression in which different variables are given different values and simplified.

In simple words, the value of an expression depends on the value of its variable(s)

Example:

If p = 8, q =1, r = 2, find the value of :

10pq – 3qr

4pqr – 2p

Solution:

Given, 10pq – 3qr p= 8, q=1, r=2

4pqr – 2p

Numerator: 10 pq – 3 qr (substituting the values of p, q, r)

= 10 x 8 x 1 – 3 x 1 x 2

= 80 – 6

= 74

Denominator: 4pqr – 2p (substituting the values of p, q, r)

= 4 x 8 x 2 – 2 x 8

= 64 – 16

= 48

Numerator = 74

Denominator 48

= 37

24 Answer

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Find LCM by division method

We can find L.C.M. of two or three or more numbers by division method.

STEPS:

1) Arrange the given numbers, in any order, in a line.

2) Divide by a number which exactly divides at least two of the given numbers and carry forward the numbers which are not divisible.

3) Repeat the process till none of the two given numbers are divisible by the same number.

4) The product of all divisors and the numbers left undivided is the required L.C.M (Least Common multiples)

Find the LCM of 65 and 91 by division method.

First we need to arrange the given numbers, in any order in a line, now we need to observe that the numbers 65 and 91 all the numbers are divided by 13, then we carry forward the number 5 and 7 which are not divisible by the same number. So, in the last step the product of all the divisors and the numbers left undivided i.e. 5 and 7 are the required L.C.M.

Therefore, L.C.M of 65 and 91 = 13 x 5 x 7.

= 273

Try Finding the LCM of 3, 6 and 8 by division method.

(a) 22

(b) 32

(c) 42

(d) 24

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Changing Improper fractions to mixed fractions

Let Us Learn How Changing Improper fractions to mixed fractions.

A Mixed Fraction is a whole number Divide the numerator of the given fraction by its denominator. The quotient so obtained forms the whole number part and the remainder forms the numerator of the fractional part of the mixed number.

Another method is to divide the numerator by the denominator. The denominator divides twice into the numerator with a remainder of 8, giving a whole number of 2, a numerator of 8, and a denominator of 9.

Let Us Learn Through examples to understand better.

1) convert 23/7 as mixed fraction.

Solution:

On dividing, 23 by 7, we get

Quotient = 3 and Remainder = 2

Try to solve the given problems below.

1) A number which can be expressed as the sum of a natural number and a proper fraction is called a _____ fraction.

A) Proper

B) Improper

C) Mixed

D) None of these.

2) Every improper fraction can be converted to mixed fractions?

A) Yes

B) No

C) Cannot be determined

D) None of the above.

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