triangles

Presentation by Rohit KumarSubmitted to:- Dr. Yashpal Deshwal

TRIANGLES AND TYPES OF TRIANGLES

We get a TRIANGLE by joining three non collinear points .

DefinitionTriangle a polygon with 3 angles and 3 straight sides.

EXAMPLETRIANGLE 3 SIDES. 3 VERTICES 3 ANGLES

DefinitionAngle two non-collinear rays that meet at a common end point.

BASIC PARTS SIDESAS, AM,SM

VERTICESS, A, M

ANGLESS, A. M

SAM

What is a TRIANGLE ?A closed figure formed by joining three line segments is called a TRIANGLE .

A triangle has three sides

A triangle has three angles

DefinitionRight Angle an angle whose measure is exactly 90.Also define as an angle formed by 2 perpendicular lines.

DefinitionPerpendicular lines are two lines intersecting at right angles. For example,ray EP & ray ET.PET

DefinitionDegree a unit of measurement of an angle or arc, represented by the symbol .30

TRIANGLES ARE NAMED BY THEIR VERTICES.For example,The triangle shown can be named as SAM.SAM

TYPES OF TRIANGLESTwo Ways On the basis of anglesOn the basis of sides

On the basis of ANGLESThree types

Acute angled triangleRight angled triangleObtuse angled triangle

Acute angled triangleA triangle whose all the angles are acute is called an ACUTE ANGLED TRIANGLE .

Right angled triangleA triangle in which one of the angle is right angle is called RIGHT ANGLED TRIANGLE.

Obtused angled triangleA triangle in which one of the angle is obtuse angle is called OBTUSED ANGLED TRIANGLE .

Classification On the basis of sidesThree types

Equilateral triangleIsosceles triangleScalene triangle

Equilateral triangle A triangle whose all the sides are of equal length is called equilateral triangle.

Isosceles triangle A triangle whose any two sides are of equal measure is called scalene triangle.

Scalene triangle A triangle whose no two sides are of equal measure is called scalene triangle.

CLASSIFICATION of trianglesACCORDING TO THEIR ANGLES.ACUTE TRIANGLE- All angles are ACUTE.854055

CLASSIFICATION of trianglesACCORDING TO THEIR ANGLES.RIGHT TRIANGLE- One angles is a right angle.904050

RIGHT TRIANGLEHYPOTENUSE- The longest side. It is the side opposite the 90 .LEGS- are the other two sides.hypotenuselegleg

CLASSIFICATION of trianglesACCORDING TO THEIR ANGLES.OBTUSE TRIANGLE- One angle is obtuse.1003050

CLASSIFICATION of trianglesACCORDING TO THEIR ANGLES.EQUIANGULAR TRIANGLE- All angles are congruent.606060

CLASSIFICATION of trianglesACCORDING TO THE NUMBER OF CONGRUENT SIDESSCALENE TRIANGLEISOSCELES TRIANGLEEQUILATERAL TRIANGLEACCORDING TO THEIR ANGLESACUTE TRIANGLERIGHT TRIANGLEOBTUSE TRIANGLEEQUIANGULAR TRIANGLE

Points to rememberA closed figure formed by joining three non collinear points is calledA triangle whose all the sides are of equal length is calledA triangle whose no two sides are of equal length is calledA triangle whose one angle is 90 degree is calledA triangle whose all the angles are less than 90 degree is called

Property of trianglesThe sum of all the angles equals 180 degrees.903060

Property of trianglesThe sum of all the angles equals 180 degrees.903060609030+180

What is the missing angle?7070?+1807070?40

True or false1. An isosceles triangle can be an equilateral triangle.2. An equilateral triangle can be an isosceles triangle.3. A triangle can have two right angles.4. An scalene triangle can be an equilateral triangle.5. All angles of an equilateral triangle are acute.6. All angles of an scalene triangle are acute.7. The longest side of a right triangle is called the vertex.8. Base angles of an isosceles triangle are always acute.9. An equiangular triangle is also an equilateral triangle.10. An scalene triangle can be a right triangle.

True or false1. A triangle can be isosceles and acute.2. A triangle can have two obtuse angles.3. A triangle can be obtuse and scalene. 4. An scalene triangle can be an equilateral triangle.5. A triangle can be right triangle and isosceles.6. A triangle can have two right angles.7. A triangle can have at most three acute angles. 8. A triangle can have at least one(1) acute angles.9. An equilateral triangle is also an acute triangle.10. An equiangular triangle can never be a right triangle.

triangles

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