Question

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form an equilateral triangle. 

• A. 4,3,2
• B. 2,4,5
• C. 1,3,4
• D. 3,4,5
• E. 2,4,5

Hint:

For triangle formation:
• Focus on $60^\circ$ angles.
• Combine pieces to form straight edges.
• Eliminate sets that disturb symmetry.

Answer 1

The Correct Option is B

Concept: This is a figure fitting problem to form an equilateral triangle:
• All sides must be equal.
• Angles must combine to form $60^\circ$ at each corner.
• Pieces must fit without gaps or overlaps.
Step 1: Observe given figures.
• Each piece has different angles and orientations.
• Some pieces contain sharp angles suitable for triangle corners.

Step 2: Identify required angles.
• Equilateral triangle requires $60^\circ$ at each vertex.
• Combination of smaller angles must sum to $60^\circ$.

Step 3: Check combinations.
• Figures (2), (4), and (5) together:
• Provide complementary angles
• Form straight edges
• Complete triangular boundary

Step 4: Eliminate other options.
• Other sets either leave gaps or cannot form equal sides.

Step 5: Conclusion.
Answer = 2,4,5