Theorem: If two sides of a triangle are unequal, the longer side has greater angle opposite to it. Given: A in which To Prove: Construction: Mark a point D on AC such that AB = AD. Join BD. Proof: In we have AB = AD [By construction] [ Angles opp. to equal sides are equal] ...(i) |
Now, consider . We find that is the exterior angle of and an exterior angle is always greater than interior opposite angle. Therefore,
[] ....(ii)
From (i) and (ii), we have
.....(iii)
But, is a part of
.....(iv)
From (iii) and (iv), we get
Hence Proved
In the following figure, AB > AC. The relation between AB and AD is ? | |||
Right Option : B | |||
View Explanation |
In a triangle ABC, , and . Then which side will be of greater length? | |||
Right Option : B | |||
View Explanation |
In the following figure , PQ > PR. QS and RS are the bisectors of respectively. Find the relation between SQ and SR. | |||
Right Option : C | |||
View Explanation |
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Abhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
It was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.