Q. 19

Math the following columns:


The correct answer is:

(a)-……, (b)-……, (c)-……., (d)-……

Answer :

a) In ∆ABC, A=70°

As AB = AC and we know that angles opposite to equal sides are equal


In triangle ABC,


A + B + C = 180o


70o + 2 C = 180o


2 C = 180o – 70o


C =


C = 55o


(b) We know that,


Angles opposite to equal sides are equal


It is given that, vertical angle of the isosceles triangle = 120o


Let the base angle be x


120° + x + x = 180°


120° + 2x = 180°


2x = 180° – 120°


2x = 60°


x =


x = 30°


Hence, each base angle of the isosceles triangle is equal to 30o


(c) We know that,


The sum of the three medians of the triangle is always less than the perimeter


(d) We know that,


In a triangle the sum of any two sides is always greater than the third side


Hence, the correct match is as follows:


(a) – (s)


(b) – (r)


(c) – (p)


(d) – (q)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Triangle Inequalities47 mins
Know More About Triangle Inequalities28 mins
Champ Quiz | Area of Triangle53 mins
NCERT | Imp. Qs. on Area of Parallelogram and Triangles43 mins
Quiz | Area of Parallelogram and Triangles43 mins
Congruency and Similarity28 mins
Champ Quiz | Mastering Triangles44 mins
RD Sharma | Important Proofs in Triangles28 mins
Quiz | Angle Sum Property of Triangle40 mins
Triangles - Important Questions39 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses