# Non Verbal Reasoning - Analytical Reasoning - Discussion

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

Find the number of triangles in the given figure.

8
10
12
14
Explanation:

The figure may be labelled as shown.

The simplest triangles are AHG, AIG, AIB, JFE, CJE and CED i.e. 6 in number.

The triangles composed of two components each are ABG, CFE, ACJ and EGI i.e. 4 in number.

The triangles composed of three components each are ACE, AGE and CFD i.e. 3 in number.

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

Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.

Discussion:
52 comments Page 1 of 6.

Shreya said:   2 years ago
I found only 9 triangles, how it is 14? Anyone explain me clearly please.
(4)

No. of total nodes + 2(no. of inner nodes)
Here,
Total no. of nodes=10
No. of inner nodes(i and j)=2
10+2(2)=14
(3)

Diya said:   3 years ago
Thanks @Priyanka.
(3)

Saiteja said:   7 months ago
@All.

Count the triangles by considering parts separately.

For the above figure consider the middle rectangle separately and count. Then left and right triangle along with the triangle included in the rectangle, total =14.
(2)

Components mean that how many sections the triangle is divided.
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Mahesh said:   6 years ago
The formula is;

No of nodes+2(no of inner nodes).
(2)

B. Surya kumar peetha said:   6 years ago
CFD is covered by 4 triangles. This changes the calculation by triangles covered by three components are 2 and four triangle components 2.
(1)

Chithra said:   6 years ago
@ Shalini.

Thank you for your explanation. It is easier to understand.
(1)

Indhumathi said:   6 years ago
Nice, thanks @Priyanka.
(1)

Swati said:   5 years ago
Thanks @Priyanka.
(1)