RD Sharma Solutions for Class 9 Maths Chapter 9 exercise VSAQs is available here. Learn various concepts of triangles easily by practicing the questions from the exercises given in class 9 RD Sharma solutions for the chapter “Triangle and its Angles”. Students should practice problems on various concepts through solved RD Sharma solutions to have a better understanding.
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Question 1: Define a triangle.
Solution: Triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.
Question 2: Write the sum of the angles of an obtuse triangle.
Solution: The sum of angles of obtuse triangle = 180°.
Question 3: In △ABC, if ∠B = 600, ∠C = 800 and the bisectors of angles ∠ABC and ∠ACB meet at point O, then find the measure of ∠BOC.
∠B = 600, ∠C = 800 (given)
As per question:
∠OBC = 600/2 = 300 and
∠OCB = 800/2 = 400
In triangle BOC,
∠OBC + ∠OCB + ∠BOC = 180 0[Sum of angles of a triangle = 1800]
300 + 400 + ∠BOC = 1800
∠BOC = 1100
Question 4: If the angles of a triangle are in the ratio 2:1:3, then find the measure of smallest angle.
Let angles of a triangles are 2x, x and 3x, where x is the smallest angle.
To find: measure of x.
As, Sum of angles of a triangle = 1800
2x + x + 3x = 1800
6x = 1800
x = 300. Answer
Question 5: If the angles A, B and C of △ABC satisfy the relation B – A = C – B, then find the measure of ∠B.
Sum of angles of a triangle = 1800
A + B + C = 1800 …(1)
B – A = C – B …(Given)
2B = C + A …(2)
(1) => 2B + B = 1800
Or B = 600
RD Sharma Solutions for Class 9 Maths Chapter 9 Exercise VSAQs
Class 9 Maths Chapter 9 Triangle and its Angles Exercise VSAQs is helpful to revise all the concepts listed in this chapter. Students can download the pdf and clarify their doubts. RD Sharma Class 9 Chapter 9 helpful for students to understand the classifications of a triangle and some important and useful concepts of triangles.