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Angles and Triangles. Presented By, Krishna kumari and Z,verghese KendriyaVidyalaya, I N S Hamla.

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## Angles and Triangles

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**Angles and Triangles**Presented By, Krishna kumari and Z,verghese KendriyaVidyalaya, I N S Hamla.**WE CAN DRAW A LINE SEGMENT ON APAPER AND IT HASDEFINITE**LENGTHA RAY AND LINE HAVE NO DEFINITE LENGTH B A**TWO RAYS AND LINE SEGMENTS WITH THE COMMON END POINT FORM AN**ANGLE A WHERE TWO END POINTS MEET IS CALLED VERTEX AND LINE SEGMENTS ARE CALLED ARMS A**ACUTE ANGLE**A B C**RIGHT ANGLE**A B C**OBTUSE ANGLE**A C B**Triangles-Introduction**• Definition: A plane figure bound by three lines in a plane is called a triangle.a triangle has 6 parts.(3sides & 3angles). • Here,AB,AC&BC are the sides,A,B & C are points. A C B**Triangle**Definition:A triangle, HAS THREE LINE SEGM ENTS ,THR EE VERTIC E S AN D THR EE ANGLES A C B**Types Of Triangles**On the basis of sides: 1. Scalene triangles 2. Isosceles triangles 3. Equilateral triangles. On the basis of angles: 4.Acute triangles 5.Right triangles 6.Obtuse triangles. An equilateral triangle is an isosceles triangle but the converse is not true.**Scalene Triangles**• Definition:A triangle,no two of whose sides are equal, is called a scalene triangle.E.g.. C A B**Isosceles Triangle**Definition:A triangle, two of whose sides are equal, is called an isosceles triangle.e.g. A C B**Equilateral Triangle**• Definition: a triangle whose all sides are equal, is called an equilateral triangle.e.g. A B C**Acute triangle**• Definition:A triangle each of whose angles is acute is called an acute angled triangle or simply acute triangle.e.g. A B C**Right Triangle**• Definition:A triangle with one angle a right angle is called a right angled triangle or simply right triangle.e.g. A C B**Obtuse triangle**• Definition:A triangle with one angle an obtuse angle is known as obtuse angled triangle or simply obtuse triangle.e.g. A C B**Triangle properties-1**A • Property 1:the sum of the three angles in a triangle is 180 degrees. • Property 2:if a side of a triangle is produced then the exterior angle so formed is equal to the sum of the two interior opposite angles. Here, angle A+angle B+angle C=180 degrees. C B A Here,angle ACD = angle A+angle B B C D

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