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

### Answer with solution

**How?**

Let’s say the smallest triangle side is 1 cms, then

**Number of triangles with side 1cms**: 10(1+2+3+4 upward facing) + 6(0+1+2+3 downward facing)

**Number of triangles with side 2cms**: 6(1+2+3 upward facing) + 1(downward facing)

**Number of triangles with side 3cms**: 3(upward facing)

**Number of triangles with side 4cms**: 1(upward facing)

### Thus, the total number of triangles in above puzzle are 27.

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BainardBob says

The answer is correct but the explanation is not. The number of triangles with 3 cm sides (upward facing) should be 3, not 1. The sum of the number of triangles detailed in the explanation is 25:

(10+6) + (6+1) + 1 + 1 = 25

puzzlersworld says

Thanks !! Corrected it..