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TRIANGLE
 A triangle is a simple closed curved made of
three segments.
 A triangle has three sides and three angles ,
and all three sides and angles are called six
elements of the triangle.
A
CB
TYPES OF TRIANGLES ON THE
BASIS OF SIDES
 Scalene triangle-If all the sides of triangle
are unequal they are called scalene triangle.
 Isosceles triangle-If any two sides of a
triangle are
Equal called isosceles triangle.Equal called isosceles triangle.
Equilateral triangle-If all the sides of triangle
are equal it is called equilateral triangle.
TYPES OF ANGLES ON THE BASIS OF ANGLES
 Acute angled triangle-If all the three angles of a
triangle are acute it is called acute angled
triangle.
 Right angled triangle-If one angle of a triangle is
a right angle it is called right angled triangle.
 Obtuse angled triangle- if one angle of a triangle
is obtuse it is called obtuse angled triangle.
MEDIANS OF A TRIANGLE
 The line segment joining a vertex of a
triangle to the midpoint of the opposite side
is called a median of a triangle.
Altitudes of a triangle
The Perpendicular line segment
from a vertex of a triangle to the
opposite side is called an altitude
of the triangle.
PROPERTIES OF A TRIANGLE
Exterior angles of a triangle
An exterior angle + adjacent interior
= 180
An exterior angle of a triangle is equal
to sum of its two interior opposite
angles.
ANGLE PROPERTY OF A SPECIAL TRIANGLE
Isosceles triangle
 A triangle in which length of two
sides are equal called isosceles
triangle.triangle.
 In a triangle the angles opposite
sides are equal.
EQUILATERAL TRIANGLE
A triangle in which all the
three sides are of equal
length is called an
equilateral triangle.equilateral triangle.
Sum of two sides of triangle
The sum of two sides of the
triangle is greater than
third side

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properties of triangles

  • 1.
  • 2. TRIANGLE  A triangle is a simple closed curved made of three segments.  A triangle has three sides and three angles , and all three sides and angles are called six elements of the triangle. A CB
  • 3. TYPES OF TRIANGLES ON THE BASIS OF SIDES  Scalene triangle-If all the sides of triangle are unequal they are called scalene triangle.  Isosceles triangle-If any two sides of a triangle are Equal called isosceles triangle.Equal called isosceles triangle. Equilateral triangle-If all the sides of triangle are equal it is called equilateral triangle.
  • 4. TYPES OF ANGLES ON THE BASIS OF ANGLES  Acute angled triangle-If all the three angles of a triangle are acute it is called acute angled triangle.  Right angled triangle-If one angle of a triangle is a right angle it is called right angled triangle.  Obtuse angled triangle- if one angle of a triangle is obtuse it is called obtuse angled triangle.
  • 5. MEDIANS OF A TRIANGLE  The line segment joining a vertex of a triangle to the midpoint of the opposite side is called a median of a triangle. Altitudes of a triangle The Perpendicular line segment from a vertex of a triangle to the opposite side is called an altitude of the triangle.
  • 6.
  • 7.
  • 8. PROPERTIES OF A TRIANGLE Exterior angles of a triangle An exterior angle + adjacent interior = 180 An exterior angle of a triangle is equal to sum of its two interior opposite angles.
  • 9. ANGLE PROPERTY OF A SPECIAL TRIANGLE Isosceles triangle  A triangle in which length of two sides are equal called isosceles triangle.triangle.  In a triangle the angles opposite sides are equal.
  • 10. EQUILATERAL TRIANGLE A triangle in which all the three sides are of equal length is called an equilateral triangle.equilateral triangle. Sum of two sides of triangle The sum of two sides of the triangle is greater than third side