Select the alternative which represents three out of the five alternative…
2024
Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a equilateral triangle.
- A.
234
- B.
134
- C.
235
- D.
245
Attempted by 1324 students.
Show answer & explanation
Correct answer: C
Answer: figures 2, 3 and 5 form the equilateral triangle.
Explanation:
Step 1: Place figure 3 with its longest outer edge forming one side of the large triangle.
Step 2: Place figure 2 so its long slanted edge aligns with the second side; the edges of figures 2 and 3 meet at the top corner without overlap.
Step 3: The remaining central wedge is exactly filled by figure 5. Its straight edges match the exposed edges of figures 2 and 3, completing the third side.
Check: there are no gaps or overlaps and the three outer sides are straight and equal in length, confirming the assembled shape is an equilateral triangle.
Key insight: match long slanted edges first and verify the remaining piece exactly fills the central wedge; figures 2, 3 and 5 satisfy this.