triangle and its properties
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Transcript of triangle and its properties
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Collinear Points
Non-Collinear Points
• The points which lie on the same line and on same plain are called
collinear points
• The points which does not lie on the
same line are called Non-collinear points
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The Triangle and its PropertiesTriangle is a simple closed curve made of three non-collinear points joined together.
Triangle has three vertices, three sides and three
angles.
In Δ ABC
Sides:- AB , BC and CA
Angles:- ∠BAC, ∠ABC and ∠BCA
Vertices:- A, B and C
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Based on the sides Scalene Triangles
No equal sides No equal angles
Isosceles Triangles Two equal sides Two equal angles
Equilateral Triangles Three equal sides Three equal angles, always 60°
types of triangles
Scalene
Isosceles
Equilateral
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types of triangles Based on Angles Acute-angled Triangle
All angles are less than 90°
Obtuse-angled Triangle Has an angle more than 90°
Right-angled triangles Has a right angle (90°)
Acute Triangle
Right Triangle
Obtuse Triangle
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Congurent triangles• Two triangles can be congurent by:-• Side-angle-side rule (SAS rule)• Angle-side-angle rule (ASA rule)• Side-side-side rule (SSS rule)• Angle-angle-side rule (AAS rule)• Right-hypotunes-side rule (RHS rule)
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SAS RULE
Two triangles are congurent if the two side and an including angle of a triangle is equal to two sides and an including angle of corresponding TRIANGLE
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ASA RULE
Two triangles are congurent if the two angles and an including side of a triangle is equal to two angles and an including side of corresponding TRIANGLE
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SSS RULE
Two triangles are congurent if the all
three sides of a triangle is equal to all three sides of corresponding TRIANGLE
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AAS RULE Two triangles are congurent if the
two angles and an non-including side of a triangle is equal to two angles and an non-including side of corresponding TRIANGLE
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RHS RULE
Two triangles are congurent in a right angled triangle if hypt. and one side of a triangle is equal to hypt. and one side of corresponding right angled triangle
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