Question:
Select the option that represents the number of triangles in the given standard hexagon network formed by intersecting diagonals through a common center with 6 sectors, each having a midpoint line, or a 4×4 crossed square with 8 internal segments.
How many triangles are there in an 8-spoke crossed square (a square with two diagonals and two perpendicular bisectors connecting opposite sides)?
एक वर्ग जिसके दोनों विकर्ण और दोनों भुजा-द्विभाजक (कुल 8 खंड) केंद्र पर मिलते हैं, उसमें कुल कितने त्रिभुज हैं?
Options:
- 16
- 12
- 14
- 18
- 16
- 12
- 14
- 18
Correct Answer: a)
Explanation:
A square with both diagonals and horizontal/vertical bisectors divided into 8 individual smaller triangles has:
Number of triangles = \(8 imes 2 = 16\).
Specifically: 8 single triangles + 4 triangles made of 2 parts + 4 triangles made of 4 parts = 16 triangles (Option a).
एक वर्ग जो विकर्णों तथा मध्य रेखाओं द्वारा 8 छोटे त्रिभुजों में विभाजित हो, उसमें कुल त्रिभुज = \(8 imes 2 = 16\) होते हैं (विकल्प a)।