How many triangles are there in the following figure?
2014
How many triangles are there in the following figure?
- A.
17
- B.
19
- C.
16
- D.
21
Attempted by 71 students.
Show answer & explanation
Correct answer: A
Smallest Triangles: There are 12 individual, smallest triangles in the figure. Four in the top triangle and eight in the bottom square divided by its diagonals.
Medium Triangles: There are 6 triangles formed by combining two of the smaller triangles.
Larger Triangles: There are 3 larger triangles formed by combining three small triangles each.
Overall Triangles: Adding the triangles of all sizes together gives the total number.
Total triangles = (Small) + (Medium) + (Large) = 12+6+3=21.