# 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 2 of 4.

Dharshan said:   10 years ago
Is there any formulas to calculate the problem?

Zarish said:   10 years ago
What is meant by components ?

Swetha said:   9 years ago
@Zarish Components refers to sides of the triangle.

Tejal ganatra said:   9 years ago
Is there any trick to solve such problems?

Cosu bardeskar said:   9 years ago
Is there any trick to solve this type of problems.

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

Revanth said:   9 years ago
I need some shortcut way to solve this. Can anyone suggest me?

Pawan said:   9 years ago
Tell the time saving trick, the above process is time consuming.

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.

Karthik said:   8 years ago
How this way is possible?

No of nodes + 2 * No of inner nodes.

Ca anyone explain it?

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