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Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is
(2019)
  • 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 off from an equilateral triangle T to produce a regula...
Refer to the below figure.

As we can see, the triangle can be divided into 9 conguruent smaller equilateral triangles. Also, hexagon contains 6 of them.
∴ The required ratio = 6 : 9 = 2 : 3
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Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is(2019)a)2 : 3b)3 : 4c)4 : 5d)5 : 6Correct answer is option 'A'. Can you explain this answer?
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