Triangles and Types of Triangles Sub. :- Mathematics Std. :- 6 th Chapter no. 20.
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Transcript of Triangles and Types of Triangles Sub. :- Mathematics Std. :- 6 th Chapter no. 20.
Triangles and Types of Triangles
Sub. :- Mathematics
Std. :- 6th
Chapter no. 20
S
TD
L
M N
DE
FName of the triangle
Name if its vertices
Name of its three sides
Name of its angels
STD
A
N
L
.
..U
M
.
..P
.Q
OS
BC
.D
. Name of the triangle
Interior points
Points on triangle Exterior Points
An exterior angle of a triangle X
Y zW
.
An angle that forms a linear pair with an angle of a triangle is called an exterior angle of the triangle .
Different Types of Triangles• There are several different types of
triangles. • You can classify a triangle by its sides and
its angles.• There are THREE different classifications
for triangles based on their sides.• There are FOUR different classifications
for triangles based on their angles.
Classifying Triangles by Their Sides• EQUILATERAL – 3 congruent sides
• ISOSCELES – at least two sides
congruent
• SCALENE – no sides congruent
EQUILATERAL
ISOSCELES
SCALENE
Classifying Triangles by Their Angles
• ACUTE – all angles are acute
• RIGHT – one right angle
• OBTUSE – one obtuse angle
ACUTE
RIGHT
OBTUSE
If all angles of a triangle are acute then the triangle is called acute angled triangle.
An acute angled triangle.
Can You Classify the Different Triangles in the Picture Below?
Classify the following triangles: AED, ABC, ACD, ACE
The Classifications…• Triangle AED = Equilateral• Triangle ABC = Equilateral• Triangle ACD = Isosceles, Obtuse• Triangle ACE = Scalene, Right