Triangle | Step by Step | RRB NTPC 2024 | Live Math class
Автор: RIGHT CLICK EDUCATION
Загружено: 2024-09-27
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Types of Triangles*
Triangles can be classified based on their sides and angles:
*By sides:*
**Equilateral Triangle**: All sides are equal, and each angle is 60°.
**Isosceles Triangle**: Two sides are equal, and the angles opposite the equal sides are also equal.
**Scalene Triangle**: All sides and angles are different.
*By angles:*
**Acute Triangle**: All three angles are less than 90°.
**Right Triangle**: One angle is exactly 90°.
**Obtuse Triangle**: One angle is greater than 90°.
Basic Properties of a Triangle*
The *sum of all interior angles* of a triangle is always 180°.
The length of any side of a triangle is *less than the sum* of the lengths of the other two sides but *greater than the difference* of those two sides. This is known as the **Triangle Inequality Theorem**.
Important Facts**
The *median* of a triangle divides it into two triangles of equal area.
The *centroid* is the point where the medians of the triangle intersect, and it divides each median into a 2:1 ratio.
The *circumcenter* is the point where the perpendicular bisectors of a triangle meet. It is equidistant from all three vertices of the triangle.
The *incenter* is the point where the angle bisectors meet, and it is equidistant from all three sides of the triangle.
These fundamental properties and theorems form the basis of triangle math, which is essential for solving problems in geometry and can frequently appear in competitive exams like **RRB NTPC**.
#maths #triangle #rrbntpcsyllabus2024
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