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Similarity,In what follows, we’ll see that many—if not most—of our results shall rely on the proportionality of sides in similar triangles. A convenient statement is as follows. Similarity, Given the similar triangles ΔABC ∼ ΔA’BC’,We have that, Conversely, if then triangles ΔABC ∼ ΔA’BC’ are similar. Proof Note first that…

The Pythagorean Theorem

One of the foremost fundamental results is that the well-known Pythagorean Theorem. This states that a a2 + b2 = c2 in a right triangle with sides a and b and hypotenuse c. The figure to the proper indicates one among the various known proofs of this fundamental result. Indeed,…

Trigonometric Identities

trig identities

A Trigonometric identity or trig identity is an identity that contains the trigonometric functions sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), or cosecant(csc). Trigonometric identities can use to: Simplify trigonometric expressions. Solve trigonometric equations. Prove that one trigonometric expression is equivalent to another so that we can replace the first expression by…

Role of Euclidean Geometry in High-School Mathematics

Role of Euclidean Geometry in High-School Mathematics

If only because in one’s “further” studies of mathematics, the results (i.e., theorems) of euclidean geometry appear only infrequently, this subject has come under frequent scrutiny, especially over the past 50 years, and at various stages, its very inclusion during a high-school mathematics curriculum has even been challenged. However, as…

LCM Calculator

You can find the LCM and HCF from below LCM HCF calculator. In the results of calculators, LCM is the right-side number and HCF is the left-side number in the brackets. Both LCM and HCF results are showing at the same result area in the calculator when you click the…

3 Ways to find LCM and HCF or GCD

Let’s learn LCM – Least Common Multiple, HCF – Highest Common Factor in this lesson. Before we move into the LCM and HCF, we have to know about, Factors Prime Factors Multiples Let’s go through them quickly. If a number is divisible by another number without a remainder that the…

Perimeter of Circle

Perimeter of Circle featured

In Perimeter of circle lesson, we are going to discuss, What is the Perimeter of circle or circumference of circle Circumference equation or circumference formula Perimeter of semicircle Perimeter of quarter circle Perimeter of sector What is the Perimeter of Circle Before moving into perimeter let’s recall some knowledge about…

Algebra Basics

Algebra basics featured

In this article, we are going to learn some algebra basics including, What are the algebraic symbols? Why do we use algebraic symbols? How to construct an algebraic expression for a given instance. At this moment, some of you may have an idea about algebra. Some may not. Let’s start…

Addition of Fractions

The addition of fractions can discuss in a few categories Unit fraction addition Improper fraction addition Mixed number addition There is only one golden rule that we have to follow when the adding  fractions, There should be a common denominator between the fractions Unit Fraction Addition Example 01: Like Denominators…

Mixed Numbers to Improper Fractions Conversion

Mixed Numbers to Improper Fractions Conversion

In this article, we are going to discuss how to convert Mixed Numbers to Improper Fractions. Before moving into that part, let’s recall what mixed numbers and improper fractions are. A whole pizza and exactly half of an identical pizza shown in the figure. Therefore the total amount of pizza…