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