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 →Solve linear equations in one variable We will learn how to solve linear equations using mathematical operations, like addition, subtraction, multiplication and division. Here are steps to solve a linear equation in one variable. When variables on both sides of the equations, then following steps are followed for solving the equations. Some examples are given […]
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 →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 →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 […]
Read More →Adjacent Angles If two angles have a common vertex, and a common side but do not overlap known as the “Adjacent Angles”. Adjacent angles are a pairs of angles. ∠ABC is adjacent angle to ∠CBD because they have a common side BC and a common vertex B. In above figure ∠x and ∠y are adjacent angles. They have […]
Read More →Trigonometric ratios in right triangles In a triangle, if any one angle is a right angle ( that is a 90 degree angle) then the triangle is called right triangle. A triangle has three sides, the longest side of the triangle is opposite of right angle called Hypotenuse, and the other two sides including the right […]
Read More →AAS Congruence Rule Angle-Angle-Side Two triangles are congruent, if two pairs of corresponding angles and one pair of opposite sides are equal in both triangles. In above figure there are two triangles, △CAB and △PQR △CAB and △PQR has two pairs of corresponding angles ∠A = ∠R, ∠C = ∠P and one pair of opposite sides side CB = side PQ. […]
Read More →Prove that the angle in a semicircle is a right angle or Angle subtended by a diameter/Semicircle on any circle on any point of circle is 90º. Given: A circle O with centre O. BC is the diameter of circle subtending ∠BAC at […]
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