How many triangles do you see?

Here’s another riddle that goes viral on Facebook. You see a picture of a triangle that is divided into several parts. The question is: How many triangles do you see?
Try it out before looking at the answer.
The answer also gives you the solution no matter what the triangle looks like as it is a universal solution.

The solution to “How many triangles do you see?” are as follows:

Solution 1:

Here you can count the number of triangles. The correct number is 18, which is the answer to this riddle.

Solution 1 to the riddle

Solution 2:

If you have another triangle that is divided into either more or fewer parts, you can use this method to find the answer.

Solution 2 to the riddle

The first thing you do is look at the drawing above on the numbers that are horizontal and vertical.
If we look at the triangle in this riddle, it has three rows (reflecting in the large triangle and numbers 1-7 in solution 2) and three columns (reflecting in the large triangle and numbers 1-6 in solution 2).

First, start with the columns, and sum the numbers of columns in the triangle.
In the riddle (and similar to solution 1) the triangle has three columns so that you have to sum 1 + 2 + 3 = 6
This number should be multiplied by the number of rows that are 3.
The answer to the number of triangles will then be 6 * 3 = 18.

If we look at the triangle in solution 2 and calculate how many triangles there are in this, then the answer is as follows:
Sum of columns:
1 + 2 + 3 + 4 + 5 + 6 = 21

The number of rows is: 7

The total number of triangles will then be as follows: 21 * 7 = 147

You now have the answer to “How many triangles do you see” regardless of the number of rows and columns.


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