3. How many triangles can be found in the figure below?
A) 32
B) 36
C) 40
D) 44
E) 64

![](https://cdn.mathpix.com/cropped/2024_04_17_37097645698d56aa28c8g-1.jpg?height=320&width=325&top_left_y=1859&top_left_x=1525)
A3. D) 44 The triangles come in four different sizes. From small to large, the number of triangles is: 16, 16, 8, and 4. This is also illustrated in the pictures below. The total number of triangles is therefore 44.

![](https://cdn.mathpix.com/cropped/2024_04_17_b71e27e72afbe21d81ceg-1.jpg?height=317&width=317&top_left_y=1663&top_left_x=344)

16

![](https://cdn.mathpix.com/cropped/2024_04_17_b71e27e72afbe21d81ceg-1.jpg?height=309&width=317&top_left_y=2067&top_left_x=344)

4

![](https://cdn.mathpix.com/cropped/2024_04_17_b71e27e72afbe21d81ceg-1.jpg?height=317&width=309&top_left_y=1663&top_left_x=862)

8

![](https://cdn.mathpix.com/cropped/2024_04_17_b71e27e72afbe21d81ceg-1.jpg?height=309&width=314&top_left_y=2067&top_left_x=857)

$4^{*}$

![](https://cdn.mathpix.com/cropped/2024_04_17_b71e27e72afbe21d81ceg-1.jpg?height=314&width=317&top_left_y=1668&top_left_x=1372)

8

![](https://cdn.mathpix.com/cropped/2024_04_17_b71e27e72afbe21d81ceg-1.jpg?height=305&width=317&top_left_y=2069&top_left_x=1372)

$4^{*}$

* = By rotating this image in four different ways, you get four different triangles.