# 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
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:   7 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:   9 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:   6 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.

Akter ali said:   6 years ago
The simple triangle means forming with 3 letters.

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

Jaisun said:   8 years ago
Will the formula is given above be applicable for all triangle based sums? Please tell me, I need help.

Prathap said:   10 years ago
These kind of problems are a kind of dynamic ones hence dealing with formulae can't happen at ease.

Sharad Bhatta said:   5 years ago
I don't understand the concept of the triangle components.

Please, anybody, give me some ideas.

Mansi Sahu said:   6 years ago
I don't understand the proper meaning of components, please anybody can explain me clearly?

Balaganesh akasapu said:   9 years ago
Fortunately yes, we can use the concept of combinations to crack the problem with no time.