Trigonometric Ratios: A Detailed Explanation Trigonometric ratios are the ratios of the lengths of sides in a right-angled triangle. These ratios are fundamental in trigonometry and are used to relate the angles of a triangle to the lengths of its sides. There are six primary trigonometric ratios. sine, cosine, tangent, cosecant, secant, and cotangent. Here’s […]
Read More →Trigonometry: A Detailed Explanation Basic Concepts Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, as well as the trigonometric functions that describe those relationships. It has wide-ranging applications in fields such as physics, engineering, architecture, astronomy, and more. Here’s a detailed explanation of trigonometry covering […]
Read More →Alternate Angles: Definition and Types In this tutorial we will learn definition and types of alternate angles. In geometry, alternate angles are a special kind of angles. Alternate interior angles are formed when a transversal intersect two parallel or non-parallel lines. If a straight line intersects two lines, in the same plane at two distinct […]
Read More →Alternate Interior Angles – Definition – Examples – Properties What are alternate interior angles? The term alternate interior angles is often used when two lines are intersected by a third line(transversal). Alternate interior angles are formed when two lines are intersected by a third line. The third line is known as the transversal line. Alternate […]
Read More →Distributive Property – Property of Integers The distributive property means distribution of the given operation over another mathematical operation within a bracket. Multiplication is Distributive Over Addition Lets consider a, b and c are three integers, by distributive Property: a x (b +c) = (a x b) + (a x c) = ab + ac […]
Read More →Geometric Figure – Altitude Height – Definition In a geometric figure, the shortest distance between the base and its top, whether that top is an opposite vertex, an apex or another base.
Read More →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 →Law of Tangents – Definition – Formula – Proof and Examples In trigonometry, the law of tangents describes the relationship between the sum and difference of sides of a right triangle and tangents of half of the sum and difference of the angles opposite to the sides. Formulas for law of tangents The law of tangents […]
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