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Prepared by: Elizer S. Sampang
CONTENTS 
Meaning of the Triangle 
Parts of the Triangle 
- Primary Parts 
- Secondary Parts 
Kinds of Triangle 
- According to Angles 
- According to Sides
A polygon with 
three sides, three 
angels and three 
vertices. 
It is the union of 
three non collinear 
points.
The sum 
of the 
interior 
angles are 
180 
degrees.
Sides 
- AB, BC, CA 
Angles 
- A, B, C 
Vertices 
- A, B, C 
A 
C B
Median 
- is the segment drawn from one 
vertex of a triangle to the midpoint of the 
opposite sides. 
A 
B C 
D 
AD - 
BD = DC
Altitude 
- is the perpendicular segment 
drawn from one vertex of the triangle to 
the line containing the opposite side. 
Altitude - AC
Angle Bisector 
- is the segment drawn from one 
vertex and dividing the angle into two 
congruent angles. 
AP - Angle bisector 
BAP = CAP
 Acute Triangle 
- is a triangle with three angles are 
less than 90. 
Examples: 
50 
70 
60 
59 
66 55
 Obtuse Triangle 
- is a triangle with one of the angle 
is more than 90. 
Examples: 
110 
20 
50
 Right Triangle 
- is a triangle 
with one angle is 
exactly 90. 
- the longest side 
is the hypotenuse and 
the two sides are the 
legs. 
Example:
 Equiangular Triangle 
- is a triangle with all angles are 
congruent. 
60 
60 60 
Example:
 Scalene Triangle 
- is a triangle with no equal 
sides. 
Examples: 
5m 
8m 
7m 
5m 
3m 
4m
 Isosceles Triangle 
- is a triangle with two sides 
are congruent. 
Examples: 
12cm 12cm 
15cm 
4 
4 
8
 Equilateral Triangle 
- is a triangle with all sides 
are congruent. 
Example: 
6cm 6cm 
6cm
Parts Kinds 
Primary Secondary 
 Sides 
 Angles 
 Vertices 
 Median 
 Altitude 
 Angle 
bisector 
Angles Sides 
 Acute 
 Obtuse 
 Right 
 Equiangular 
 Scalene 
 Isosceles 
 Equilateral
ACTIVITY 
A. Identify the following. 
1. A triangle with two equal sides. 
2. A triangle whose one of its angle is 
more than 90 degrees.
3. A triangle whose angles are less than 90 
degrees. 
4. A triangle where all of its angle are 
congruent. 
5. A triangle with no equal sides.
triangles geometry

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triangles geometry

  • 1. Prepared by: Elizer S. Sampang
  • 2. CONTENTS Meaning of the Triangle Parts of the Triangle - Primary Parts - Secondary Parts Kinds of Triangle - According to Angles - According to Sides
  • 3. A polygon with three sides, three angels and three vertices. It is the union of three non collinear points.
  • 4. The sum of the interior angles are 180 degrees.
  • 5.
  • 6.
  • 7. Sides - AB, BC, CA Angles - A, B, C Vertices - A, B, C A C B
  • 8.
  • 9. Median - is the segment drawn from one vertex of a triangle to the midpoint of the opposite sides. A B C D AD - BD = DC
  • 10. Altitude - is the perpendicular segment drawn from one vertex of the triangle to the line containing the opposite side. Altitude - AC
  • 11. Angle Bisector - is the segment drawn from one vertex and dividing the angle into two congruent angles. AP - Angle bisector BAP = CAP
  • 12.
  • 13.
  • 14.  Acute Triangle - is a triangle with three angles are less than 90. Examples: 50 70 60 59 66 55
  • 15.  Obtuse Triangle - is a triangle with one of the angle is more than 90. Examples: 110 20 50
  • 16.  Right Triangle - is a triangle with one angle is exactly 90. - the longest side is the hypotenuse and the two sides are the legs. Example:
  • 17.  Equiangular Triangle - is a triangle with all angles are congruent. 60 60 60 Example:
  • 18.
  • 19.  Scalene Triangle - is a triangle with no equal sides. Examples: 5m 8m 7m 5m 3m 4m
  • 20.  Isosceles Triangle - is a triangle with two sides are congruent. Examples: 12cm 12cm 15cm 4 4 8
  • 21.  Equilateral Triangle - is a triangle with all sides are congruent. Example: 6cm 6cm 6cm
  • 22. Parts Kinds Primary Secondary  Sides  Angles  Vertices  Median  Altitude  Angle bisector Angles Sides  Acute  Obtuse  Right  Equiangular  Scalene  Isosceles  Equilateral
  • 23. ACTIVITY A. Identify the following. 1. A triangle with two equal sides. 2. A triangle whose one of its angle is more than 90 degrees.
  • 24. 3. A triangle whose angles are less than 90 degrees. 4. A triangle where all of its angle are congruent. 5. A triangle with no equal sides.

Editor's Notes

  1. Note: Equiangular triangle is also an equilateral triangle.
  2. Isosceles Triangle Obtuse Triangle
  3. 3. Acute Triangle 4. Equiangular Triangle 5. Scalene Triangle