Non Verbal Reasoning - Analytical Reasoning - Discussion

Discussion Forum : Analytical Reasoning - Section 1 (Q.No. 4)
4.

Find the number of triangles in the given figure.

12
18
22
26
Answer: Option
Explanation:

The figure may be labelled as shown.

The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ and CDE i.e. 8 in number.

The triangles composed of two components each are HEG, BEC, HBE, JGE and ICE i.e. 5 in number.

The triangles composed of three components each are FHE, GCE and BED i.e. 3 in number.

There is only one triangle i.e. AGC composed of four components.

There is only one triangle i.e. AFD composed of nine components.

Thus, there are 8 + 5 + 3 + 1 + 1 = 18 triangles in the given figure.

Discussion:
32 comments Page 1 of 4.

Anonymus said:   8 years ago
The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ and CDE which equals 8 in number.
The triangles composed of two components each are HEG, BEC, HBE, JGE and ICE = 5 in number.

The triangles composed of three components each are FHE, GCE and BED which are 3 in number.

There is only one triangle i.e. AGC composed of four components.

There is only one triangle i.e. AFD composed of nine components(sides of triangles.

Thus, there are 8 + 5 + 3 + 1 + 1 = 18 triangles in the given figure.

Shashikant kumar said:   10 years ago
The figure shows a triangle with many lines. If the number of internal lines from vertex E=4, and the number of internal lines parallel to base is 2, then [4 X 2 X (2+1)]/2 = 12 and then add the rest small triangle at side and the main large triangle, you will get 18.

Ritika said:   7 years ago
I don't think so, that two components forming with 4 letters as HBE &BEC both are two components triangle but HBE made with 5 letters and BEC made with 4 letters.

Ishan said:   1 decade ago
Is there any technique available to solve this problem using permutation and combination method?if its there then such type of problem can be easily solve.
(1)

Akter ali said:   7 years ago
The simple triangle means forming with 3 letters.

Two components forming with 4 letters.
Three components forming with 5 letters.

Jaisun said:   9 years ago
Will the formula is given above be applicable for all triangle based sums? Please tell me, I need help.

Prathap said:   1 decade ago
These kind of problems are a kind of dynamic ones hence dealing with formulae can't happen at ease.

Sharad Bhatta said:   7 years ago
I don't understand the concept of the triangle components.

Please, anybody, give me some ideas.

Mansi Sahu said:   7 years ago
I don't understand the proper meaning of components, please anybody can explain me clearly?
(1)

Balaganesh akasapu said:   10 years ago
Fortunately yes, we can use the concept of combinations to crack the problem with no time.


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