Question

determine the number of triangles (of any size) in the figure. the total number of triangles is

Explanation:

Step1: Count small - sized triangles

There are 8 small - sized triangles formed by the intersection of the lines inside the square.

Step2: Count large - sized triangles

There are 4 large - sized triangles formed by combining two small - sized triangles.

Step3: Calculate total number

Add the number of small and large triangles. $8 + 4=12$.

Answer:

12