Method of completing the square Below are steps to solve the quadratic equation by Completing Square. (1) First we set given equation all terms of the equation on one side, of equal sign and other side leaving zero. (2) Factor the non zero side. (3) Set each factor equal to zero. (4) Solve each of […]

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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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  Diagonals of Polygon’s In geometry, a line segment joining two vertices of a polygon or polyhedron, when those vertices are not adjacent is known as Diagonal.  Diagonals of Polygon’s A polygon’s diagonal’s are line segments, that joining from one corner to another corner. Formula for number of diagonals = n(n-3)/2 where n is number of sides or […]

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Perimeter of shapes Definition:  The distance that surrounds a two dimensional shape is known as “Perimeter.”   Simply, we can say that ‘The Perimeter is the length of the outline of a shape.  In the below figure if we start measure from the point A and move along the line segments and reach again the point A.We have […]

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How to calculate the volume of a cube with examples A cube is a solid box of six square faces, all of which sides have equal in length and every square is same in area. A cube has,  (1) Six surfaces (2) Eight vertices (3) Twelve edges or sides of equal length   Volume of a […]

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Solve Square Root Problems To solve square root problems, especially if we’re looking for a simple approach, here are some detailed methods we can consider: 1. Understanding Square Roots The square root of a number ( x ) is a value ( y ) such that ( y2 = x ). For example, the square […]

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Square Root of a Number The inverse (opposite) operation of addition is subtraction and the inverse operation of multiplication is division. Similarly, The “square root” is the inverse operation of squaring that number. Square root of a number is number itself.            Square of 1 = 1 x 1 = 1 = 12     […]

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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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