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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?
Most Upvoted 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?
Question Description
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