How many Triangles are in this Picture?

Let's solve the following tasks:

Counting triangles

Step 1

We count how many segments the side of the triangle is divided into, numbering each segment - 1,2,3, etc.

Step 2

We add up all the recorded numbers and thus get the number of triangles searched for.

Counting triangles

Answer: 3

 

Cunting triangles

Step 1

We count how many small triangles there are in the picture.

Step 2

We add 1 for the big triangle.

Counting triangles

Answer: 5

* Triangle counting problems can be found in the course Competitive Mathematics - Level 2