Equation of a Circle when the Center of Circle Coincides with the Origin In this tutorial we will learn, equation of a circle when the center of circle coincides with the origin with examples. The equation of a circle in a Cartesian coordinate system can be expressed in a simple form when the center of […]

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Right Angle Triangle – Definition – Formula – Properties What is a Right Angle Triangle? A right angle triangle is a type of triangle. A right angle triangle plays an important role in trigonometry. A triangle in which one of the interior angle is 90º or a right angle is a right triangle. Right Triangle […]

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Exponents and Power Rules In this chapter we will learn about exponent and power. These are very large numbers, and difficult to read, and compare. To make these numbers easy to read, compare and understand we use exponents. Exponents  Definition: When a number repeatedly multiply by itself, we raise it to a power. This is known as […]

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Volume of Right Circular Cone                          In figure A is called vertex, AO is height,  OC is radius, and AC is slant height of cone. The height, radius, and slant height of the cone are usually denoted by h, r and l respectively. Volume of Right Circular Cone V = 1/3𝜋r2h […]

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Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]

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Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]

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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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             Type of Bar Graphs  In this lesson, we will learn about bar graph or bar chart. We also focus on the different type of bar graphs, definition of bar graph how to create bar graphs. A graphical representation of data, in which bars show comparisons between categories of data.A […]

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Area of a Triangle In this lesson we will learn, how to calculate the area of a triangles with different formula’s. When given 1. The base and height of a triangle.2. Two sides and one angle.3. The length of three sides.4. An equilateral triangle. First we see about a triangle.  A triangle is a simple […]

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