RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles | Updated For 2021-22

RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles: Subject matter experts have designed the RS Aggarwal Solutions Class 10 Maths with precision and as per the current CBSE Syllabus. You cn easily understand the concepts and clear your doubts with the RS Aggarwal Solutions Class 10 Maths Chapter 4. 

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Download Free PDF Of RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles

RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles

RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles – Overview

In the Chapter 4 of RS Aggarwal Solutions Class 10, there are 3 exercises based on Triangles. You must ponder over all the important points before you start your exam prep.

Important Points Of RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles

• Types of triangles when segregated based on angles within a triangle

1. Acute Triangle: A triangle where each of the angles within a triangle is less than 90 degrees, which means that the measure of each angle within the triangle is less than 90 degrees.
2. Obtuse Triangle: A triangle wherein the measure of at least one angle of the triangle exceeds 90 degrees.
3. Right Triangle: A triangle in which at least one of the angles of the triangle is equal to 90 degrees.

• Types of triangles on the lengths of the sides of a triangle

1. Isosceles Triangle: A triangle in which two sides of the triangle are equal and two angles are equal too.
2. Right Isosceles Triangles: A triangle in which two angles of the triangle are equal to 45 degrees and one angle is equal to 90 degrees.
3. Equilateral Triangle: A triangle in which each of the sides is equal and all the angles are equal to 60 degrees.

• Pythagoras Theorem: As per the theorem, the square of the length of the longest side, that is the hypotenuse will be equal to the sum of squares of the lengths of the other two sides.
• Median Of A Triangle: The line segments drawn from one vertex to the midpoint of the opposite side. 
• Centroid: The point of intersection of all the medians is known as the centroid of the triangle. It divides each median in a ratio of 2:1.
• Altitude: The line segments drawn from the vertices of the triangles to the side opposite to the triangle such that the line segment makes a right angle with the side it intersects.
• Orthocentre: The point of intersection of all the altitudes within a triangle.
• Angular Bisectors: The line segment bisecting each angle of a triangle and meeting the opposite side.
• Incentre: It is the point of intersection of all the angular bisectors of the triangle.

1. In an equilateral triangle, the median, the altitude, and the angular bisectors are the same, and therefore all the points, incentre, orthocentre and centroid are concurrent to each other.

2. The sum of all the internal angles of a triangle is always equal to 180 degrees.

3. The sum of lengths of two sides is always greater than the length of the third side of the triangle.

• Heron’s Formula: The formula to find the area of any triangle by just knowing the length of each side of a triangle is known as Heron’s Formula.

  s(semiperimeter): a+b+c/2

  Where a,b,c are the lengths of sides of the triangle respectively.

  Area = √s(s–a)(s–b)(s–c)

• Area Of A Triangle: ½*b*h where b is the base of the triangle and h is the height or the altitude of the triangle.
• Area Of An Isosceles Triangle: A = (1/4) × b × √(4a² – b²)

  Where b is the length of the unequal sides of the triangle and a is the length of sides that are equal.

• Area Of An Equilateral Triangle: √3a²/4

  Where a is the length of a side of the triangle.

Access RS Aggarwal Solutions Class 10 Maths Chapter 4 Triangles – Other Exercise

RS Aggarwal Solutions Chapter 4 Exercise 4.1

RS Aggarwal Solutions Chapter 4 Exercise 4.2

RS Aggarwal Solutions Chapter 4 Exercise 4.3

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