In order to find the total number of triangles in a figure like the present on right hand side.
Just write the counting starting from 1. In the given figure we have to write just 1 and 2.
So, Total triangles = 1+2 = 3
Here counting will start from 1 and goes upto 4.
So, Total triangles = 1+2+3+4 = 10
Here We have three set of triangles.
In bigger triangle counting will start from 1 and goes upto 6.
In smaller two triangles the couting will start from 1 and goes upto 2.
So Total number of triangles can be calcualted as given below:
Total triangles = 21+3+3 = 27
In these types of diagrams count the number of horizontal lines.
So, Total number of triangles in the given question = Total number of horizontal lines.
Here Total number of horizontal lines = 5
So Total number of triangles = 5
In these types of diagrams count the number of horizontal lines and at each level write the
couting starting from 1 as in case 2.
Here we have 1+2 = 3 at each level and number of horizontal lines = 4.
So total number of triangles = 3 X 4 = 12
In these types of questions write the counting as shown in the diagram.
Now, Number of triangles = maximum count X 2
Here Maximum count = 4.
So Total number of triangles = 4 X 2 = 8
As we have done in the previous case that is case number 6.
Here maximum count = 8.
So Number of triangles = 8 X 2 =16
Here you can easily observe that in a big triangle, we have
4 small triangles.
So total triangles = 4 + 1 ( big triangle ) = 5 Triangles,
It means that whenever we have a small triangle inside a big triangle,
Total number of inner triangles = 4
Here we will apply concept of case-8
Now clearly inside black big triangle we have red small triangle.
So total triangles inside black big triangle = 4
Similary, inside red big triangle we have small green triangle.
So total triangles inside red big triangle = 4
Total triangles = 4 + 4 + 1 (Outermost black triangle)
= 9 Triangles
In these types of problems, you will observe that in all the directions number of
small triangles are same. You have to count the number of triangles, as we have done with red color.
Here number of triangles = 4 in each direction (between two red color 4s also.)
Now to solve these problems, just learn the adjacent table.
Against 4, the digit written in table = 27
So total triangles in present case = 27.
Similary, If we have 6 small triangles in all the directions.
Then total number of triangles = 78. Because 78 is written against 6.
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