Question

Count the number of triangles in the given figure:

• A. $23$
• B. $27$
• C. $29$
• D. $31$

Answer 1

The correct option is C $29$

Here we have two bigger triangles on side ward in which there are 4 triangles in each total is 10 till now. Besides these two triangles we have two more touching in which each triangle is divided into two more triangles. Hence till now we got 16 triangles.By mixing these two type of triangles we get 2 more. At the top of figure we have one triangle divided into two more triangles. Total 19 till now.In the bigger triangle on side ward we have 4 more by joining 2 small triangles in that. Total is 23.By mixing upper and centre triangles we get 6 more. Hence total is 29.Hence C is the correct option.