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 […]
Read More →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 […]
Read More →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 […]
Read More →What is an Acute Triangle: Definition, Formula and Properties In geometry, a triangle is a polygon with three sides, three vertices and three interior angles. In other words a triangle is a closed two dimensional plane figure with three sides and three angles. Triangles are classified on the basis of their sides and angles. There […]
Read More →Law of cosines or Cos law The law of cosines or Cos law is one of the trigonometric laws which is useful for solving the angles or sides of a triangle. For example, if all three sides of a triangle (SSS) are given, the cosine rule allows one to easily find any of the […]
Read More →Law of sines or Sine law The law of sines or Sine law is one of the trigonometric laws which is useful for solving the angles or sides of a triangle. In trigonometry, the law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite […]
Read More →Quadrilateral – Definition – Properties There are kinds of quadrilaterals, based on the sides and angles. 1. Parallelogram 2 Rectangle 3. Square 4. Rhombus 5. Trapezium 6. kite 1. Parallelogram A Parallelogram is a quadrilateral, whose both pairs of opposite sides are parallel and equal in length. In above […]
Read More →Properties of a Rectangle A rectangle is a two dimensional four sided polygon(quadrilateral), in which the opposite sides are equal and parallel to each other and all four angles are right angles. In figure ABCD is a rectangle. Properties of a Rectangle A rectangle is a quadrilateral. 1. Each interior angle is a right angle. 2. […]
Read More →Solutions of Trigonometric Ratios (1) If sin A = 4/5, find the other trigonometric ratios of the angle A. Solution: Let us draw a right △ ABC in which ∠B = 900 We know that, sin A = 4/5 = BC/AC Therefore, if BC =4k, then AC = 5k, where k is a positive number. Now, using […]
Read More →Vertex – Definition and Examples Vertex – Latin word Vertex meaning, “highest point”. What is Vertex? Vertex is a point where two or more rays or line segments are meet. When two rays or line segments meet, simply it is a corner, they form an angle. Definition: A vertex is a point on a polygon, where […]
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