Question 27

Count the member of triangles in the following figure.

Solution

We can see that there is square that is divided into 4 parts.

Each part is divided into two triangles.

Hence the square is made up of 8 triangles, as labelled below

Now if observe Triangle number 2 and 7 can also form a triangle

Similarly triangle numbers 2 and 3, 3 and 6 and 6 and 7 can also form a triangle.

Hence total number of triangles = 8+4 = 12

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