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    […]

Read More →

Solving Quadratic Equations     A Quadratic equation is an equation in the form “ax2 + bx + c = 0″, where x is variable, a, b, c, are real numbers, and a ≠ 0. Example- (1) x2 – 4x + 5 = 0                (2) x2  + 3x – 4 = 0       […]

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 →

Quadrilaterals – Definition – Properties The word “quadrilateral” has two Latin words quadri, a variant of four and latus meaning is “side”.                    What is a quadrilateral A quadrilateral is a polygon, with four edges or sides and four vertex or corners. Just like as a triangle is 3 sides polygon, […]

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 →

Square – Properties – Formula Here we will learn, about some geometrical properties of a square. In below figure ABCD is a square. Properties of a square 1. All four sides of a square are equal or congruent. 1. All four sides of a square are equal or congruent. AB  =  BC  =  CD  =  DA 2. All […]

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 […]

Read More →

Interesting Numbers Patterns 1. Square numbers of 1, 11, 111, 1111,…..etc. They give a beautiful patterns like this. 2. Another interesting pattern. 72 = 49 672 = 4489 6672 = 444889 66672 = 44448889 666672 = 4444488889 6666672 = 444444888889 3. Adding consecutive odd numbers. 1 =  1  =    13 3 + 5 =  8  =   23 7 + 9 + […]

Read More →