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How Many Triangles?
510 VIEWS   +   0 UP VOTES Vote Up   -   0 DOWN VOTES Vote Down   +   2 COMMENTS Comments   =   516 HEAT INDEX What is Heat Index?
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How Many Triangles do you see in the image below?

 

 

Think of an answer before reading the solution...

Ready?

Four steps to solve this puzzle. In each step, we go one level down until we find all the triangles.

 

STEP 1:

The main triangle  = 1

 

STEP 2:

Four triangles within the main triangle (three white and one blue) = 4

 

STEP 3:

 

This step is tricky because these triangles are not easily visible.

 

If you look closely at the white triangles from Step 2, there are hidden triangles comprising of one blue and three white triangles.

There are three such triangles in each triangle from Step 2.

Total number of triangles at this level

= 3 * 3

= 9

 

STEP 4:

Each of the three white triangles from Step 2 are divided into three blue and six white triangles.

So total number of triangles at this level

= (3+6) * 3

= 9 * 3

= 27

 

TOTAL NUMBER OF TRIANGLES FROM ALL STEPS:

= 1 + 4 + 9 + 27

= 41

 

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