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 .
Find the number of triangles in the given figure :
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| Right Option : D | |||
| View Explanation | |||
How many triangles are there in the given figure ?
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| Right Option : A | |||
| View Explanation | |||
Find the number of triangles in the given figure:
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| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
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.
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Shivam Rana
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7thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
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