Converse of Pythagorean Theorem  In this section we are going to see the converse of Pythagorean theorem. We know the Pythagorean theorem applies to right triangles and states that,  The square of the length of the hypotenuse, equals the sum of the squares of the lengths of the other two sides.  (hypotenuse)2 = (Base)2+(Perpendicular)2     […]

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Law of Tangents – Definition – Formula – Proof and Examples In trigonometry, the law of tangents describes the relationship between the sum and difference of sides of a right triangle and tangents of half of the sum and difference of the angles opposite to the sides. Formulas for law of tangents The law of tangents […]

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Empty set A set which does not contain any element is called an Empty set, or null set or void set. Empty set is denoted by { } or ∅ (Greek letter phi). Curly braces having no elements on it. Example: 1. The set of natural numbers less than 0, because there is no elements in the empty set. […]

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 Solve One Digit Division Before beginning to learn one digit division, we shall become familiar with the different parts of division. Dividend – The number that have to be divided. Divisor – The number that the dividend, is being divide by.  Quotient – The result of the division. Remainder – The number we are left with after the division. Let’s […]

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Find Mode by Histogram  In this tutorial, we will learn, how to find mode of a given observation with the help of a histogram. First we know about mode. What is mode? Definition:  The mode of a data set is the value, occurring most frequently in set of observations. In other words, a data set having highest […]

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Simple Interest Word Problems  Example 1: What is the simple interest and amount of $ 2000 at the rate of 8% per year for 2 1/2 years. Solution: Principal amount = P = $ 2000 Rate of interest per year = R = 8% Time for which it is borrowed = T = 2 1/2 year Thus, simple […]

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 Decimal to Fraction – Convert All decimal numbers can be converted into fractions. Converting decimal to fraction depending on the number of decimal place that may be tenths, hundredths, thousandths etc. In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the some steps.  There are examples will […]

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     Axis of Symmetry – Symmetrical Figures Definition – Axis of Symmetry: A line is drawn from the middle of the figure that acts like a mirror is known as Axis of Symmetry or Linear Symmetry. The line divides the figure into two symmetrical parts, then figure on one side is the mirror image of the figure on […]

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 Convert Percentage into Decimal Converting a percentage into a decimal is an essential skill in mathematics that helps in various calculations, including financial analysis, statistics, and everyday math. Here’s a detailed explanation: Understanding Percentages and Decimals Percentage: A percentage represents a part per hundred. For example, 50% means 50 out of 100. Decimal: A decimal […]

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