This document discusses different types of triangles categorized by side lengths, angle measures, and both side lengths and angle measures. There are three main types of triangles based on side lengths: equilateral triangles which have three equal sides; isosceles triangles which have two equal sides; and scalene triangles which have all unequal sides. There are also three types based on angle measures: acute triangles which have all angles less than 90 degrees; obtuse triangles which have one angle greater than 90 degrees; and right triangles which have one 90 degree angle. The document further discusses specific triangle types that are defined by both side lengths and angle measures, such as isosceles right triangles.
2. TRIANGLESTRIANGLES
INDICATORS :
1. To determine kinds of triangles based
on the lengths of their side
2. To determine kinds of triangles based
on the sizes of their angles
3. To determine kinds of triangles based
on the lenghts of their sides and the
sizes of their angles
4. 1.Kinds of triangles based on the1.Kinds of triangles based on the
lengths of sideslengths of sides
Types of triangle CharacteristicTypes of triangle Characteristic
Equilateral triangleEquilateral triangle
606000
6060oo
606000
3 equal sides
3 equal angles
3 lines of
symmetry
5. Types of triangle CharacteristicTypes of triangle Characteristic
Isosceles triangleIsosceles triangle
X XX X
2 equal sides
2 equal angles
1 line of
symmetry
6. Types of triangle CharacteristicTypes of triangle Characteristic
Scalene triangleScalene triangle
606000
707000
505000
All sides have
different length
All angles have
different measure
7. 2.Kind of triangle based on the2.Kind of triangle based on the
sizes of their angles:sizes of their angles:
No Types of triangle CharacteristicNo Types of triangle Characteristic
1.1. Acute triangleAcute triangle
8080ºº
60º60º
40º40º
All angles are
less than 900
8. No. Types of triangle CharacteristicNo. Types of triangle Characteristic
22 Obtuse triangleObtuse triangle
3030º 40ºº 40º
110º110º
It has one angle
more than 900
9. No. Types of triangle CharacteristicNo. Types of triangle Characteristic
33 Right triangleRight triangle It has a right angle
10. 3.Kinds of triangles on the basic of3.Kinds of triangles on the basic of
the lenghts of their sides and thethe lenghts of their sides and the
sizes of their anglessizes of their angles
No. Types of triangle CharacteristicNo. Types of triangle Characteristic
1 Isosceles triangle1 Isosceles triangle 2 equal sides
1 right angle
12. CONCLUSION :CONCLUSION :
Kinds Of Triangles :Kinds Of Triangles :
1. Based on the lenghts of their sides :1. Based on the lenghts of their sides :
a. Equilateral trianglea. Equilateral triangle
b. Isosceles triangleb. Isosceles triangle
c. Scalene trianglec. Scalene triangle
13. 2. Based on the sizes :2. Based on the sizes :
a. Acute trianglea. Acute triangle
b. Obtuse triangleb. Obtuse triangle
c. Right trianglec. Right triangle
14. 3. Based on the lenghts of3. Based on the lenghts of
their sides and the sizes oftheir sides and the sizes of
their angle:their angle:
1. Isosceles right triangle1. Isosceles right triangle
2. Isosceles obtuse triangle2. Isosceles obtuse triangle
3. Isosceles acute triangle3. Isosceles acute triangle