Find the number of triangles in the given figure.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 16
Name the points first: the corners A, B, C, the points D, E, F where the inner lines meet the sides, and G where the three inner lines cross. Then count the triangles by the number of small parts they are made of.
One part (6): AGE, EGB, BGD, DGC, CGF, FGA
Two parts (3): AGB, BGC, CGA
Three parts (6): ABD, ADC, BCE, BCF, ABF, ACE
Six parts (1): ABC
Total \(=6+3+6+1=16\) triangles.