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(#M40008880) CAT question Keep an EYE

The corners of an equilateral triangle of side 10cm each are cut to form a regular hexagon. The area of the hexagon is:

Asked In CAT Vignesh (13 years ago)

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Pargat Pal Singh  (13 years ago)

3 regular triangle of side 10/3 cms are cut from each corner of equilateral triangle of side 10 cms.
Area of each triangle cut from main triangle is 1/9 of original triangle.
Area of 3 triangles cut from main triangle is 3/9 = 1/3 of original triangle.

area of hexagon is (1-1/3) = 2/3 of original triangle.= (2/3)*100*(root 3)/4 = 28.867 sq cms

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amrit bhagat  (13 years ago)

ans 64.95cm
side of triangle 10cm
perimter =30cm
perimeter of regularhexagon=30 cm
each side= 5cm
therefore area of hexagon 64.95cm

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