Types of triangles- Right, Acute, Obtuse…..          Type on triangles on base of angles 1.  Right triangle: If in a triangle, one angle is 90 degree, the triangle called right triangle. or  A right triangle has a 900  angle. The following triangle is a right triangle.  2. Acute triangle: If in a triangle, all three […]

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Supplementary and Complementary Angels To understand supplementary and complementary angles, first we need to understand the adjacent angles.                          Adjacent angle Two angles that have a common vertex and a common side but not overlap, are known as adjacent angles.    Complementary Angles When the total of […]

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   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    […]

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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 […]

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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. […]

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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 […]

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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 […]

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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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