What are the numbers of straight lines and triangles in the given figure?
A
9, 34
B
8, 34
C
9, 36
D
None of these
Correct Option:
C
Explanation
The figure contains 9 distinct straight lines when each continuous drawn line is counted once: the three outer sides, the central vertical, the horizontal segment, two inner verticals and two diagonals. Careful counting of both the smallest triangles and the larger composite triangles gives 36 triangles. These problems are tricky because large triangles formed by combinations of smaller regions are easy to overlook.
