CAT 2018 Question Paper - Slot 1 Solutions | Geometry

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CAT 2018 Question:
Given an equilateral triangle T1 with side 24 cm, a second triangle T2 is formed by joining the midpoints of the sides of T1. Then a third triangle T3 is formed by joining the midpoints of the sides of T2. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles T1, T2, T3,... will be
A. 192√("3" )
B. 164√("3" )
C. 248√("3" )
D. 188√("3" )

#CAT2018 #triangles #geometry
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how is r = 1/4, since it is getting half, from 24 to 12 and 12 to 6, r = 1/2 no ? Please guide sir

AyushTrivedi
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sir that infinite gp point didn't hit my mind so how to work on that

chandravideo