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TRIANGLES
Presented by:
Ann Treesa Sebastian
• Triangles – Basic concepts
• Regions – Interior, Exterior,Triangular
• Types of triangles
• Based on length of sides
• Based on the magnitude of the angles
• Equiangular triangles
 A triangle is a closed figure made of three line segments.
 It has three vertices, three sides and three angles.
 The line segments forming a triangle are the three sides of
the triangle.
 The point where any two of the three line segments of
a triangle intersect is called the vertex of the triangle.
 When two line segments intersect, they form an angle.
 A triangle is denoted by
A
B
C
o The region within the boundary of a
triangle is called the interior region of
the triangle.
o Points P, Q, S and R are in the interior of
∆ ABC.
o The region outside the boundary of a
triangle is called the exterior region of
the triangle.
o Points X, Y and Z are in the exterior of
∆ ABC.
o Points E, F and H are in the boundary of
∆ ABC.
o The interior region along with the
boundary is known as the triangular
region.
A triangle has three sides and three angles. Triangles can be
classified into different categories based on:
• the length of the sides
• the magnitude of the angles
Based on the length of the sides triangles are classified into the
following categories:
 Equilateral triangles
 Isoscles triangles
 Scalene triangles
When all the three sides of a triangle are equal it is
called an equilateral triangle.
If two sides of a triangle are equal in length, then it is
called an isosceles triangle.
A triangle having no two sides equal is called a scalene
triangle. That is all three sides have different length.
Based on the length of the sides triangles are classified into the following
categories:
 Acute - angled triangles
 Right - angled triangles
 Obtuse - angled triangles
If each of the three angles of a triangle are acute, that is
less than 90 degree, it is called an acute angled triangle or
simply an acute triangle.
When one angle of a triangle is a right angle, that is
90 degree, the triangle is called a right angled triangle
or simply a right triangle
When one angle of a triangle is a right angle, that is
greater than 90 degree, the triangle is called an obtuse
angled triangle or simply an obtuse triangle
When the three angles of a triangle are equal, the triangle is
known as equiangular triangle. An equiangular triangle is also
equilateral.

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Triangles

  • 2. • Triangles – Basic concepts • Regions – Interior, Exterior,Triangular • Types of triangles • Based on length of sides • Based on the magnitude of the angles • Equiangular triangles
  • 3.  A triangle is a closed figure made of three line segments.  It has three vertices, three sides and three angles.  The line segments forming a triangle are the three sides of the triangle.  The point where any two of the three line segments of a triangle intersect is called the vertex of the triangle.  When two line segments intersect, they form an angle.  A triangle is denoted by A B C
  • 4. o The region within the boundary of a triangle is called the interior region of the triangle. o Points P, Q, S and R are in the interior of ∆ ABC. o The region outside the boundary of a triangle is called the exterior region of the triangle. o Points X, Y and Z are in the exterior of ∆ ABC. o Points E, F and H are in the boundary of ∆ ABC. o The interior region along with the boundary is known as the triangular region.
  • 5. A triangle has three sides and three angles. Triangles can be classified into different categories based on: • the length of the sides • the magnitude of the angles
  • 6. Based on the length of the sides triangles are classified into the following categories:  Equilateral triangles  Isoscles triangles  Scalene triangles
  • 7. When all the three sides of a triangle are equal it is called an equilateral triangle.
  • 8. If two sides of a triangle are equal in length, then it is called an isosceles triangle.
  • 9. A triangle having no two sides equal is called a scalene triangle. That is all three sides have different length.
  • 10. Based on the length of the sides triangles are classified into the following categories:  Acute - angled triangles  Right - angled triangles  Obtuse - angled triangles
  • 11. If each of the three angles of a triangle are acute, that is less than 90 degree, it is called an acute angled triangle or simply an acute triangle.
  • 12. When one angle of a triangle is a right angle, that is 90 degree, the triangle is called a right angled triangle or simply a right triangle
  • 13. When one angle of a triangle is a right angle, that is greater than 90 degree, the triangle is called an obtuse angled triangle or simply an obtuse triangle
  • 14. When the three angles of a triangle are equal, the triangle is known as equiangular triangle. An equiangular triangle is also equilateral.