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 […]
Read More →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 […]
Read More →Rhombus – Definition – Properties Definition: A rhombus is a quadrilateral (closed shape, plane figure) with four straight sides that are equal length also opposite sides are parallel and opposite angles are equal. A rhombuses is a type of parallelogram. All rhombuses are parallelograms, but not all parallelograms are rhombuses. All squares are rhombuses, but not all […]
Read More →Concave Polygons: Definition – Examples & Properties All polygons is either convex or concave. A polygon will be convex or concave, it depends on the measure of their angles. What is a Concave Polygon? A concave polygon have at least four sides, and concave polygon is just opposite of a convex polygon. If the measures […]
Read More →Arc – Geometry In mathematics the word arc also used for some other curved shapes like an ellipse but mostly used for a circle. Definition: An arc is a portion of the circumference of a circle. It is also known as circular arc. In above figure AB […]
Read More →Classification of polynomials 1. Zero degree polynomials are used to describe quantities that don’t change. 2. 1st degree polynomials are used to describe quantities that change at a steady rate. They are also used in many one-dimensional geometry problems involving length. 3. 2nd degree polynomials are used to describe quantities that change with some amount […]
Read More →We use many objects in our daily life, which are round in shape, such as wheels of a vehicle, sun, moon, a dinner plate, button of shirts etc. These are real examples of a circle. Let’s study about circle and it’s parts. Definition: 1. Circle A circle is a collection of […]
Read More →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 […]
Read More →Circle – Area – Formula and Problems with Solutions Area of a circle is A = 𝝿r2 = 𝝿 (pi) x (radius)2 , where r is radius of the circle. or when we know the diameter A = (𝝿/4) x D2 when we know circumference A = c2/4𝝿 Let us now solve problems on area of a circle. Here […]
Read More →Surface Area and Lateral Surface Area Cuboid In our day life, when we look around the room in our house we can see may things that has a shape of rectangular box. We use many box shaped objects, like a shoe box, a book a TV etc. The shape of all these objects have same, […]
Read More →