Angle opposite to longer side is greater
Angle Opposite to Longer Side is Greater
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Theorem: In a triangle the greater angle has the longer side opposite to it. Given: A To Prove: Proof: In
Out of these three possibilities exactly one must be true. |
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Case I: When AC = AB
As AC = AB [Angles opp. to equal sides are equal]
But as is given it contradicts our assumption.
CASE II: When
[
Longer side has the greatest angle opposite to it]
This also contradicts the given statement.
Thus, we are left with the only possibility, , which must be true.
Hence, .
In the following figure, AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Then the relation between the
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| Right Option : A | |||
| View Explanation | |||
In the following figure, PQRS is a quadrilateral. PQ is the longest side and RS is its shortest side. Then the relation between
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| Right Option : C | |||
| View Explanation | |||
Fill in the blank to make the following statement true. If two angles of a triangle are unequal, then the smaller angle has the _____________________ side opposite to it. | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
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
Yatharthi Sharma
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas 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.
Om Umang
10thAbhyas 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.
Manish Kumar
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thAbout 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.
Shreya Shrivastava
8thMy 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.
Hiya Gupta
8thBeing 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.
Prisha Gupta
8thOne 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.
Aman Kumar Shrivastava
10thIt 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.
