## 1.) How many triangles are there in this picture ?

See Answer### There are a total of 92 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) + 8(overlapping triangles with diagonal a part of one of the side) + 3(diagonal is perpendicular to one of the side of the triangle) =**19(You can get it correct after a little hard try)**

**Number of triangles by taking two squares at a time: **3(common side of square is perpendicular) * 4(there are four such combinations) = **12**

**Number of triangles by taking 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 = 0**