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Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is
  • a)
    2 : 3
  • b)
    3 : 4
  • c)
    4 : 5
  • d)
    5 : 6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Corners are cut from an equilateral triangle to produce a regular conv...
Concept:
Area of an equilateral triangle  

where a = side of the triangle.
Calculation:
Given:
Let the side of the large triangle is 'a' then the side of the regular hexagon is a/3
If each triangle's area 
then the area of regular hexagon 
∴ The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is 2/3
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Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle isa)2 : 3b)3 : 4c)4 : 5d)5 : 6Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle isa)2 : 3b)3 : 4c)4 : 5d)5 : 6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle isa)2 : 3b)3 : 4c)4 : 5d)5 : 6Correct answer is option 'A'. Can you explain this answer?.
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