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 ΔAA’C’ and ΔCA’C’ clearly have …
Right-angled triangle and the Pythagorean theorem In this article lets try to develop the Pythagorean theorem by means of the right angle. So first let’s get some proper ideas about the right-angled triangle. What is a right-angled triangle? If an angle of a triangle is 90o it is called a right-angled triangle or right triangle. …
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 the second expression. The following …
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 long as we still think …
Role of Euclidean Geometry in High-School Mathematics Read More »
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 submit button. LCM HCF Calculator …
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. What are the Factors? If a number is divisible by another number without a remainder that the second …
In Perimeter of circle lesson, we are going to discuss, 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 key features of circle. Center of Circle Diameter of Circle Radius of Circle Center of Circle The center is the …
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 from the beginning. Introduction to …
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 Yellow color area : Green …
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 in the picture is 1 …
