square & Equalateral triangle Ratio

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Ashetty: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Sun May 08, 2011 4:33 pm

by Ashetty » Mon Jul 04, 2011 12:21 pm

If two regions of square & Equalateral triangle are same , than what is ratio of equalateral triangle side T and Square side S??...Means what is ratio of T:S??.

Answer is 2:4âˆš3...How????

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Source: Beat The GMAT — Problem Solving | Mon Jul 04, 2011 12:21 pm

MBA.Aspirant: Master | Next Rank: 500 Posts; Posts: 401; Joined: Tue May 24, 2011 1:14 amFollowed by: 5 members; Thanked: 37 times

by MBA.Aspirant » Mon Jul 04, 2011 3:17 pm

Ashetty wrote:If two regions of square & Equalateral triangle are same , than what is ratio of equalateral triangle side T and Square side S??...Means what is ratio of T:S??.

Answer is 2:4âˆš3...How????

T^2 root 3 /4 = S^2

T^2 root3 = 4 S^2

T * 3^1/4 = 2 S

T/S = 2/(3)^1/4

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