Triangles and its Properties By- Humera Shaikh Std- 7 th

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What is a Triangle ? A closed figure consisting of three line segments linked end-to-end.

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Triangles according to sides: Equilateral Triangle Isosceles Triangle Scalene Triangle Triangles according to angles: Acute Angled Triangle Right Angled Triangle Obtuse Angled Triangle Types of Triangles

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Vertex : It is a corner of a triangle. Each triangle has three vertices. Median : It is the line segment joining a vertex to the mid-point of the opposite side. Altitude : It is a perpendicular from one vertex to any point on the opposite side. Base : It is the line segment on which the triangle is formed. Commonly used Terminologies

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Angle Sum Property Exterior Angle Property Triangle Inequality Property Pythagorean Theorem Congruence of Triangles Properties of Triangles

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This property states that the sum of all the measures of angles of a triangle is equal to 180 degrees. Angle sum property

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This property states that the angle formed on the extension of any side of the triangle is equal to the sum of any two interior angles. Exterior angle property

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A property which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Triangle inequality property

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In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagorean Theorem

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Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other. Two triangles can be congruent by the following ways: Congruence of Triangles ASA: Angle Side Angle SAS: Side Angle Side SSS: Side Side Side

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