Histogram A histogram is from of graphical representation of grouped frequency distribution with continuous classes.  In a histogram data represents like the bar graph, but it there is no gap between rectangular bars. The rectangular bars show the area of proportional to the corresponding frequency of a variable and the width of the bars represents […]

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Surface Area of a Right Circular Cone – Definition – Formula – Example                          Right Circular Cone  Definition:  (1)  The surface area of a cone is sum of area of its base and lateral(side) surface. (2)  The Lateral Surface Area of a cone is area of its […]

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Parallelograms on the same base and between the same parallels are equal in area. Given: Two parallelograms ABCD and EFCD, are on the same base DC and between the same parallel lines AF and DC. To prove: area (∥gm ABCD) = area (∥gm EFCD) Proof: In △ AED and △ BFC BC ∥ AD and AF is a transversal.So, ∠DAE = ∠CBF …..(1) (Corresponding angles of […]

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     Types of triangles- Right, Acute, Obtuse…..          Type on triangles on base of angles 1.  Right triangle: If in a triangle, one angle is 90 degree, the triangle called right triangle. or  A right triangle has a 900  angle. The following triangle is a right triangle.  2. Acute triangle: If in a triangle, all three […]

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        The Pythagoras Theorem A long time over 2000 years ago, a Greek mathematician named Pythagoras discovered an amazing and interesting property about Right triangles, The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.  This property now called Pythagoras […]

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Triangle – Definition and Properties The origin of term “Triangle” from latin word tri (“Three”) and angulus means (“angles”). A “Triangle” is a simple closed curve or a three sided polygon. A triangle has three angles and three sides and three vertices. It is one of the basic shape in geometry.   In Euclidean geometry any non-collinear, three points, determine a unique triangle.  The triangle […]

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   Hypotenuse of a triangle In geometry, the longest side of a right-angled triangle, the side opposite the right angle is known as hypotenuse. Pythagoras theorem applies to right triangles and states that,  The square on the hypotenuse is equal to the sum of the squares on the other two sides.  (hypotenuse)2   =    (Base)2+(Perpendicular)2    […]

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 Trapezium – Definition – Properties Altitude – Midsegment –  Angles – Formula  Definition: A trapezium is a flat closed quadrilateral with 4 straight sides with one pair of parallel sides. The sides can be vertical, horizontal or slanting.A trapezium is also known as a trapezoid. The parallel sides is called the base and the non […]

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