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## Download RS Aggarwal Solutions Class 9 Maths Chapter 8 Triangles PDF

RS Aggarwal Solutions Class 9 Maths Chapter 8 Triangles

## RS Aggarwal Solutions for Class 9 Maths Chapter 8 Triangles – Overview

A triangle is any planar structure that consists of three sides and three vertices. As per the Euclidean geometry, any three non-collinear points form a triangle. Triangle is a planar figure with two dimensions.

- Properties Of A Triangle

- Perimeter of a triangle: 1/2 x Length x Breadth
- Area of a triangle: sum of the lengths of a triangle.
- Interior Angle: 60°
- Sum of interior angles: 180°.

- Types Of Triangles

A triangle can be distinguished on the following basis:

- According to the length of the sides
- According to the measure of internal angles
- According to the Length of Sides

- Equilateral Triangle: All the sides of a triangle are of the same length. All the internal angles are 60°. Let us suppose a Triangle of sides a, b and c.

Equilateral Triangle: a = b = c

- Isosceles Triangle: The two sides of a triangle are of equal length and another side is of different measure.
Isosceles Triangle: a = b but not equal to c

- Scalene Triangle: The sides of a triangle are of unequal length. All the angles are also of different lengths.

- As per the measure of internal angles

- Right-angle triangle: Any triangle with one interior angle of measure 90°.

Right angle triangles obey Pythagoras Theorem which is a^{2} + b^{2} = c^{2}

Where a, b, c are the sides of any Triangle.

- Obtuse triangle: Any triangle with anyone interior angle greater than 90°.
- Acute triangle: Any triangle with interior angles less than 90°.

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### What is an acute triangle?

Any triangle with interior angles less than 90°.

### What is an equilateral triangle?

All the sides of a triangle are of the same length. All the internal angles are 60°. Let us suppose a Triangle of sides a, b and c.

Equilateral Triangle: a = b = c