RS Aggarwal Solutions Class 9 Maths Chapter 8 Triangles (Updated For 2021-22)

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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

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

• Types Of Triangles

A triangle can be distinguished on the following basis:

1. According to the length of the sides
2. According to the measure of internal angles 
3. 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 a² + b² = c²

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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