Question

How many triangles are present in the
following figure?
A. 14
C. 16
B. 15
D. 13​

Answer 1

Answer

Name the segments(small triangles) in the big triangle with numbers 1 to 6 as shown in the picture

Now start counting the various combinations of triangles that can be formed as per the format given below:

Combinations --> No: of triangles

1−2−3−4−5−6−−>1

1−2−3;2−3−4;3−4−5;4−5−6;5−6−1;6−1−2−−>6

2−3;4−5;6−1−−>3

1;2;3;4;5;6−−>6

Therefore, total number of triangles =1+6+3+6=16

Hence, option 'C' is correct