triangles geometry
DESCRIPTION
triangles and its partsTRANSCRIPT
Prepared by: Elizer S. Sampang
CONTENTSMeaning of the TriangleParts 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.
TRIANGLE
The sum of the interior angles are 180 degrees.
TRIANGLE
Parts of theTriangle
Primary Parts
Primary PartsSides
- AB, BC, CAAngles
- A, B, C Vertices
- A, B, C
A
BC
Secondary Parts
Median- is the segment drawn from
one vertex of a triangle to the midpoint of the opposite sides.
MedianA
B CD
AD -
BD = DC
Secondary Parts
Secondary PartsAltitude
- is the perpendicular segment drawn from one vertex of the triangle to the line containing the opposite side.
Altitude - AC
Secondary PartsAngle Bisector
- is the segment drawn from one vertex and dividing the angle into two congruent angles.
Angle bisectorAP -
BAP = CAP
Kindsof
Triangle
According to
Angles
According to Angles Acute Triangle
- is a triangle with three angles are less than 90.
Examples:
50
70
60
59
5566
According to Angles Obtuse Triangle
- is a triangle with one of the angle is more than 90.
Examples:
110
2050
According to Angles 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:
According to Angles Equiangular Triangle
- is a triangle with all angles are congruent.
60
6060
Example:
According to
Sides
According to Sides Scalene Triangle
- is a triangle with no equal sides.
Examples:
5m
7m
8m5m
3m
4m
According to Sides Isosceles Triangle
- is a triangle with two sides are congruent.
Examples:
12cm 12cm
15cm
4
4
8
According to Sides Equilateral Triangle
- is a triangle with all sides are congruent.
Example:6cm6cm
6cm
TRIANGLE
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.