Triangle

A

B

C

The Definition of TrianglesThe Definition of Triangles

Triangle is plane figure which is bordered by three lines (sides)

Vertex : A, B, CVertex : A, B, C

Side : AB, AC, BDSide : AB, AC, BD

Triangles Based on Relative Triangles Based on Relative Length of Their SidesLength of Their Sides

Equirateral TriangleEquirateral Triangle

Equilateral triangle is a triangle which has three equals sides.

Isosceles triangleIsosceles triangle

Isosceles triangle is a triangle which has two equals sides.

Scalene Triangle Scalene Triangle

Scalene triangle is a triangle which has no equalssides.

Triangle BasedTriangle Based on the on the MeasureMeasure of of TTheir heir Interior Interior

AnglesAngles

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Acute TrianglesAcute Triangles

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Obtuse TrianglesObtuse Triangles

An obtuse triangle is a triangle that An obtuse triangle is a triangle that has onehas one obtuseobtuse angle.angle.

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Right TrianglesRight Triangles

A right-angled triangle is a triangle that has one 90º angle.


Based on its Sides and the Based on its Sides and the Measure ofMeasure of

Interior Angle Interior Angle

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Right Isosceles TriangleRight Isosceles Triangle

Right isosceles triangle Right isosceles triangle is a triangle that has is a triangle that has one 90one 90ºº angle and two equal sides. angle and two equal sides.



Obtuse Isosceles TriangleObtuse Isosceles Triangle

Obtuse Isosceles Triangle Obtuse Isosceles Triangle is a triangle that is a triangle that has one obtuse angle and two equal sides.has one obtuse angle and two equal sides.



Acute Isosceles TriangleAcute Isosceles Triangle

Acute Isosceles Triangle Acute Isosceles Triangle is a triangle that is a triangle that has one acute angle and two equal sides.has one acute angle and two equal sides.



Obtuse Scalene TriangleObtuse Scalene Triangle

Obtuse Scalene Triangle is a that has one Obtuse Scalene Triangle is a that has one obtuse angle and no equal sidesobtuse angle and no equal sides



Acute Scalene TriangleAcute Scalene Triangle

Acute Scalene Triangle is a triangle that has Acute Scalene Triangle is a triangle that has one acute angle and has no equal sidesone acute angle and has no equal sides


Equilateral TrianglesEquilateral Triangles

All of sides are equal in lengthAll of angles are equal in measureCan fill its frame in 6 waysThe sum of all angles is 180ºHas three axes of symmetry

C

B

180º

IsoscelesIsosceles

Has two equal sides Can fill its frame in 2

ways All of its angles are

acute angle Has a pair of same

angle Has an axis of

symmetry

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Right TriangleRight Triangle

Has a right angleHas a right angle Has 2 acute anglesHas 2 acute angles Can fill its frame in a Can fill its frame in a

wayway We can form some We can form some

plane figures such plane figures such as... as...

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Here are...Here are...

Angle in Angle in Triangle Triangle

The sum of all angles in triangle is 180º

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Angle in TriangleAngle in Triangle

The measure of an exterior angle of a triangle is equal to the sum of two interior angles which are not supplementary to the exterior angle.

Exterior Angle

Interior Angle

Exterior angle is formed by one side and the extension of another side of angle

Exterior angle is formed by one side and the extension of another side of angle


Perimeter of TrianglePerimeter of Triangle

Sum of all the sides in triangle

A

C

B

8 cm 10 cm

6 cm

Example

10 cm + 6 cm + 8 cm

= 24 cm


Area of TriangleArea of Triangle

A

CB

12 cm 15 cm

9 cm

= 108 cm : 2 cm = 54 cm2

Thank you Thank you for your for your

attention.attention.See YouSee You

Thank you Thank you for your for your

attention.attention.See YouSee You

Education

Triangle