properties of triangles

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properties of triangles

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Presentation Transcript

Triangles : 

Triangles

If A,B,C are three non Collinear points ,the figure made up by three line segments AB,BC and CA is called a triangle : 

If A,B,C are three non Collinear points ,the figure made up by three line segments AB,BC and CA is called a triangle A B C

The Six elements of a triangle are- : 

The Six elements of a triangle are- 1.Side AB 2. Side BC 3. Side AC 4.Angle ABC 5.Angle ACB 6. Angle BAC A B C

Interior & Exterior of a triangle : 

Interior & Exterior of a triangle A B C P Q m

Various types of triangles : 

Various types of triangles Equilateral triangle 6 cm 6 cm 6 cm

Isosceles triangle : 

Isosceles triangle 6 cm 6 cm 4 cm

Scalene triangle : 

Scalene triangle 5 cm 13 cm 6 cm

Acute triangle : 

Acute triangle 40 60 80

Right triangle : 

Right triangle 90

Obtuse Triangle : 

Obtuse Triangle 120

Perimeter of a Triangle : 

Perimeter of a Triangle 5cm 5cm 4cm Perimeter=5cm+5cm+4cm=14cm

Properties of Triangles : 

Properties of Triangles

Angle sum property of a Triangle : 

Angle sum property of a Triangle The sum of the angles of a triangle is 180˚. A B C B C A

Angle sum property of a Triangle : 

Angle sum property of a Triangle 1 2 3 4 5 Angle 4 + Angle 3 + Angle 5=180º Angle 1 + Angle 3 + Angle 2=180º

Exterior & Interior Opposite Angles : 

Exterior & Interior Opposite Angles A B C D

Exterior angle property of a Triangle : 

Exterior angle property of a Triangle A B D C Angle A + Angle B = Angle BCD

Exterior angle property of a Triangle : 

Exterior angle property of a Triangle A B D C Angle A + Angle B + Angle BCA=180º Angle BCA + Angle BCD=180º Angle A + Angle B +Angle BCA = Angle BCA+ Angle BCD

Triangle Inequality Property : 

Triangle Inequality Property The sum of any two sides of a triangle is greater than the third side. A B C AB+BC >AC AB+AC>BCAC+BC>AB

Triangle Inequality Property : 

Triangle Inequality Property A B C AB+BC >AC

Triangle Inequality Property : 

Triangle Inequality Property A B C AB+AC>BC

Triangle Inequality Property : 

Triangle Inequality Property A B C AC+BC>AB

Pythagoras Theorem : 

Pythagoras Theorem In a right triangle, the square of the longest side is equal to the sum of squares of remaining two sides. A B C ( AC) 2 = (AB) 2 + (BC) 2 Hypotenuse 2 = Perpendicular 2 + Base 2 Base Perpendicular Hypotenuse

Pythagoras Theorem : 

Pythagoras Theorem

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