Class 7 Maths- Ch 6 – Triangle and its properties
Angle Sum Property
The total measure of the three angles of a triangle is 180°.
Given: -∠1,∠2,∠3 are angles of ∆ABC
∠4 is the exterior angle when BC is extended to D
Justification ∠1+∠2=∠4(by exterior angle property)
∠1+∠2+∠3=∠4+∠3 (adding ∠3 on both sides)
∠4 and ∠3 form a linear pair so it is 180°
Hence ∠1+∠2+∠3=180°
Watch and learn more about angle sum property – Class 7 Maths.
Two Special Triangles: Equilateral and Isosceles
Equilateral Triangle: – Triangles in which all the three sides are equal are called an equilateral triangle.
Two Important points:-
- all sides have the same length
- each angle has measure 60°
Isosceles triangle: – Triangles in which two sides are of equal lengths is called an isosceles triangle.
Two Important points:-
- two sides have the same length
- base angles opposite to the equal sides are equal
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