Exploring Triangles: Types, Properties, and Examples
Welcome back
Welcome back
everyone!!
everyone!!
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A closed figure formed by joining three
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Every triangle has 3 sides, 3 vertices and 3
angles.
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A, B and C
are vertices.
Here, AB, BC and CA
are the three sides.
and
ABC
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ACB are the angles.
BAC and
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Triangles having all sides equal are called
equilateral triangle.
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6 cm
6 cm
6 cm
Here, sides
AB = BC = CA = 6cm
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Triangles having 2 sides equal are called isosceles
triangle.
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7 cm
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4 cm
Here, sides
AB = AC = 7cm
and BC = 4cm
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NO EQUAL
SIDES!
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7 cm
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Triangles whose all angles are acute are called
acute angled triangle.
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Triangle whose 1 angle is right angle is called right
angled triangle.
90°
45°
45°
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Triangle whose 1 angle is obtuse is called obtuse
angled triangle.
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In any triangle,
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If the sum of the three angles in a triangle is not equal to
180°, then those three angles can not be the angles of a
triangle.
62° + 75° + 43°
= 180°
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Delve into the world of triangles through an insightful exploration of their types, properties, and examples. Learn about equilateral, isosceles, scalene, acute-angled, and right-angled triangles, along with their defining characteristics and visual representations. Enhance your understanding of geometry with clear explanations and vivid imagery.
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Presentation Transcript
Welcome back everyone!! 1
Triangles and types of triangles 2
What is a triangle? A C B A closed figure formed by joining three line segments is called a triangle. 3
Every triangle has 3 sides, 3 vertices and 3 angles. A A, B and C are vertices. Here, AB, BC and CA are the three sides. B C ABC , BAC and ACB are the angles. and 4
TRIANGLES SIDES ANGLES Acute angled triangle Equilateral triangle Right angled triangle Isosceles triangle Obtuse angled triangle Scalene triangle 6
Equilateral triangle Triangles having all sides equal are called equilateral triangle. A C B 7
Example: A Here, sides AB = BC = CA = 6cm 6 cm 6 cm C B 6 cm 8
Isosceles triangle Triangles having 2 sides equal are called isosceles triangle. A B C 9
Example: A Here, sides AB = AC = 7cm and BC = 4cm 7 cm 7 cm B C 4 cm 10
Scalene triangle Triangles having NO sides equal are called scalene triangle NO EQUAL SIDES! B A C 11
Example: B 7 cm 5 cm C A 6 cm 12
Acute angled triangle Triangles whose all angles are acute are called acute angled triangle. 13
Right angled triangle Triangle whose 1 angle is right angle is called right angled triangle. 45 90 45 14
Obtuse angled triangle Triangle whose 1 angle is obtuse is called obtuse angled triangle. 15
Calculate sum of the angles in a triangle In any triangle, Sum of the Three Angles = 180 If the sum of the three angles in a triangle is not equal to 180 , then those three angles can not be the angles of a triangle. 62 + 75 + 43 = 180 16
Answer = 73 17
