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Maths — TRIANGLES
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Mathematics | Maths Class 9
Mathematics | Maths Class 9 — Complete Notes & Solutions · academia-aeternum.com
🎓 Class 9
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🏆 CBSE · JEE
Frequently Asked Questions
A triangle is a polygon with three sides, three vertices, and three angles.
Equilateral (all sides equal), Isosceles (two sides equal), Scalene (all sides different).
Acute (all angles < 90°), Right (one angle = 90°), Obtuse (one angle > 90°).
The sum of all interior angles of a triangle is always 180 degrees.
The exterior angle of a triangle equals the sum of the two opposite interior angles.
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Triangles with equal corresponding sides and angles are congruent and can be superimposed on each other.
\(\text{SSS (Side-Side-Side),}\\ \text{SAS (Side-Angle-Side),}\\ \text{ASA (Angle-Side-Angle),}\\ \text{AAS (Angle-Angle-Side),}\\\small\text{RHS (Right angle-Hypotenuse-Side).}\)
Triangles with all three sides equal are congruent.
If two sides and the included angle are equal, the triangles are congruent.
If two angles and the included side are equal, the triangles are congruent.
For right triangles, if the hypotenuse and one side are equal, the triangles are congruent.
Area = (1/2) × base × height
By adding the lengths of all three sides. Perimeter = a + b + c
A line segment drawn from a vertex to the midpoint of the opposite side.