Hexagon Cut from Equilateral Triangle

CAT 2019 Slot 1 · QA · Easy · Mensuration

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Corners are cut off from an equilateral triangle TT to produce a regular hexagon HH. Then, the ratio of the area of HH to the area of TT is

  1. A.

    5 : 6

  2. B.

    3 : 4

  3. C.

    2 : 3

  4. D.

    4 : 5

Answer

C

Explanation

An equilateral triangle cut at corners to form a regular hexagon is divided into 9 smaller identical equilateral triangles. The hexagon consists of 6 such smaller triangles. The ratio of area of HH to TT is 6:9=2:36 : 9 = 2 : 3.

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