CBSE Class 9 Maths Chapter 7 Triangles Revision Notes
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Properties of Triangles
Angles opposite to equal side of a triangle:
- If in a triangle, 2 sides are equal then the angles opposite the sides are also equal.
- Base angles of an isosceles triangle are equal
Sides opposite to equal angles of a triangle:
If in a triangle, 2 angles are equal then the sides opposite the angles are also equal.
Inequalities in a triangle:
Triangle elements like sides, angles, areas, etc. are bound by inequalities, foremost of which is the Triangle Inequality.
The triangle inequality theorem is very useful when one needs to determine if any 3 given sides will form a triangle or not. Angle opposite to the longer size is larger.
If ∠B > ∠A > ∠C then b > a > c. Side opposite to the larger angle is longer. If b > a > c then ∠B > ∠A > ∠C.
The Sum of any two sides of a triangle is greater than the third side:
a + b > c
b + c > a
a + c > b
CBSE Class 9 Maths Chapter 7 Triangles Revision Notes PDF