Counting of Triangles
Counting of Triangles
Counting of Triangles
Example : Find the number of triangles in the given figure
A. 11
B. 13
C. 15
D. 17
Answer : C
Explanation : We may label the figure as shown .
The simplest triangle are AFB`, FEB, EBC, DEC, DFE and AFD i.e. 6 in number . The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e. 6 in number . The triangles composed of three components each are ADC and ABC i.e. 2 in number . There is only one triangles i.e. DBC which is composed of four components . Thus , there are 6+6+2+1 = 15 triangles in the figure .
Example : Find the number of triangles in the given figure:
A. 16
B. 22
C. 28
D. 32
Answer : C
Explanation : We shall label the figure as shown :
The simplest triangles are AFJ ,FJK , FKB, BKG, JKG, JGC, HJC, HIJ, DIH, DEI, EIJ, and AEJ i.e. 12 in number . The number composed of two components each are JFB , FBG, BJG, JFG, DEJ, EJH, DJH and DEH i.e. 8 in number . The triangles composed of three components each are AJB, JBC, DJC and ADJ i.e. 4 in number . The triangles composed of six components each are DAB, ABC, BCD, and ADC i.e. 4 in number. Thus , there are 12+8+4+4 = 28 triangles in the figure .
| |||||
| Right Option : A | |||||
| View Explanation | |||||
| |||||
| Right Option : D | |||||
| View Explanation | |||||
Directions : In each of the following question , find the number of triangles in the given figure .
| |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
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.
Prisha Gupta
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thI 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
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
10thMy 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.
Shivam Rana
7thA 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
7thMy 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
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
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
8thIt 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.
