veenu08 wrote:

can someone please explain the logic for this question

STATEMENT 1:

Two heights are less than 1/3

see in figure:==> 2 triangles are there ABC and DEF

Perpendiclar from B to AC..and perpendicular from C to AB===>LESS THAN 1/3...But we can take point much higher shown....lets perpendicular from A to BC..is 100 ..SO IN THIS case perimeter you can see will be

more than 1.

take second triangle DEF ===>IN this all the heights are very smalll===>you can make very small triangle whose perimeter is

less than 1.hence statement 1 is not sufficient.

STATEMENT 2:Triangle AMC and BMC are right angled triangle with AC and BC as hypotenuses respectively. Hence, both AC and BC are greater than CM. If the height CM is greater than 1/2 then the sides AC and BC must be greater than 1/2 too. Thus the perimeter of the triangle must be greater than 1. ==>Sufficient.

hence B

HOPE IT HELPS

Attachments

tri.jpg [ 3.51 KiB | Viewed 3760 times ]

STMN 1.png [ 8.83 KiB | Viewed 3759 times ]

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