Q. 64.4( 20 Votes )

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.

Answer :

If one of the angle of a triangle is equal to the sum of other two.

i.e. B = A + C

Now, in

Sum of all angles of triangle is 180o

A + B + C = 180o

B + B = 180o [Therefore, A + C = B]

2B = 180o

B = 90o

Therefore, ABC is right angled triangle.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Angle Sum Property of Triangle40 mins
Quiz | Lines and Angles43 mins
Quiz | Lines and Angles40 mins
NCERT | Angle Sum Property44 mins
Matter and Its Classification34 mins
Lines and Angles45 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Know About Transversal and Parallel lines42 mins
Quiz on Lines and Angles26 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