Find the number of triangles in the given figure.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 10
A triangle is formed by three points joined to each other by straight lines of the figure, the three points not lying on one line. The arcs of the circle are not straight, so they form no triangle. Naming the points (O is where AC and BE cross) makes the count easy.
Below the diameter CE (1): CDE
At the upper right (1): AEF
On the diameter CE, with the third corner above it (3): ACE, BCE, CEO
The rest of the upper part (5): ABC, BCO, ABE, AEO, ABO
Total \(=1+1+3+5=10\) triangles. C, O, A lie on one line and so do B, O, E, so COA and BOE are not triangles.