Similar Figures – Definition and Examples Definition: If two figures have the same shape, then they are called ” Similar Figures”. The ratio of length of their corresponding sides are equal, and their corresponding angles are equal. In below triangles ABC and PQR corresponding angles are equal so, […]
Read More →The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center O to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB, Both angles are 900. To prove: AC = CB Construction: join OA and OB. Proof: In △OCA and △ OCB ∠OCA = ∠OCB […]
Read More →Angles opposite to equal sides of an isosceles triangle are equal. Given: A isosceles triangle △ ABC in which AB = AC, andangles opposite to equal sides of triangle are ∠B and ∠C. To prove: We need to prove that ∠B and ∠C, are equal ∠B = ∠C. Construction: Draw the bisector […]
Read More →The side opposite to equal angles of a triangle are equal. Given: A triangle △ ABC in which angles opposite to sides AC and AB of are ∠B and ∠C, and ∠B = ∠C. To prove: We need to prove that sides AB and AC, are equal AB = AC. Construction: Draw […]
Read More →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 […]
Read More →The Pythagoras Theorem A long time over 2000 years ago, a Greek mathematician named Pythagoras discovered an amazing and interesting property about Right triangles, The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. This property now called Pythagoras […]
Read More →Triangle – Definition and Properties The origin of term “Triangle” from latin word tri (“Three”) and angulus means (“angles”). A “Triangle” is a simple closed curve or a three sided polygon. A triangle has three angles and three sides and three vertices. It is one of the basic shape in geometry. In Euclidean geometry any non-collinear, three points, determine a unique triangle. The triangle […]
Read More →Mathwords A to Z With Meanings There are many types of dictionaries. English-Dictionary Graph-Dictionary etc, Graph-Dictionary contains all types of graphs English-Dictionary is common dictionary. In math-Dictionary we can find list of more than 2100 mathematical words and their meanings. Dictionary is a book in which we can see the meaning of each and every word. […]
Read More →What is an Acute Triangle: Definition, Formula and Properties In geometry, a triangle is a polygon with three sides, three vertices and three interior angles. In other words a triangle is a closed two dimensional plane figure with three sides and three angles. Triangles are classified on the basis of their sides and angles. There […]
Read More →Law of cosines or Cos law The law of cosines or Cos law is one of the trigonometric laws which is useful for solving the angles or sides of a triangle. For example, if all three sides of a triangle (SSS) are given, the cosine rule allows one to easily find any of the […]
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