## 1.) How many triangles do you see in this picture ?

See Answer### There are a total of 84 triangles

**How?**

Lets count…

Looking at the symmetry, we can divide this triangle in 4 equal parts(square) and we will first count the number of triangles in each part and then number of triangles formed by combining 2 or more parts together.

**Number of triangles in one square**: 8(non overlapping triangles) + 4(overlapping triangles with middle lines a part of the triangle) =**12**

**Number of triangles by taking two squares at a time:** 6(try a little harder, you will fidn these) * 4(there are four such combinations) = **24**

**Number of triangles by taking (only) three squares at a time:** 1(all squares should be a part of the triangle) *4(four such combinations) = **4**

**Number of triangles by taking all squares together = 8**

### Thus total number of triangles = 12*4 + 24 + 4 + 8 = 84.

Facebook Comments

Himanshu Purushottambhai Parma says

56

Kotte Hari says

40

Maiju says

I can’t find more than 76. I wish there was a more visual explanation to this one.

Rafael Robles says

Wrong triangle. Looked at one on face book that’s I counted. Oops

puzzlersworld says

🙂

Rafael Robles says

112