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

See Answer### Answer: There are a total of 47 triangles

**How?**

Lets count…

By looking at it, first impression is … its very simple, But mind you! its not that easy !!!

So lets stick to the divide and conquer approach, we will divide this triangle into 3 equal triangles(triangle formed by connecting outer side to the center of the circle) and will count the number of triangles in each part and then by taking two or more parts together.

**Number of triangles in one part**: 4(non overlapping) + 3(overlapping) = **7 * 3 = 21**

**Number of triangles by taking two parts together**: 8 = **8 * 3 = 24**

**Number of triangles by taking all three parts together**: **2**